Chicago Cubs First-Place Clinch Scenario

Chicago's traditional magic number (relative to second-place Milwaukee) is 19 + 132 - 19 + 1 = 133.
Chicago's first-place clinch number is 125.
Chicago must win 125 more games (144 total) to clinch first place.

If Chicago wins 125 more games, their final win total will be at least 144.
The table below shows the best case scenario for each of the other teams if Chicago wins 125 of their remaining 131 games and loses the other 6.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Chicago' column gives the
minimum number of games that each team will lose to Chicago if Chicago wins 125 more games. Assuming that a team wins all of its remaining games except for
the games it loses to ChicagoCubs, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Chicago	Maximum W
Milwaukee        19	11	132	      13 - 6 = 7	144 *See tie-breaking notes below.
Cincinnati       16	15	131	      13 - 6 = 7	140
St. Louis        14	17	131	      13 - 6 = 7	138
Pittsburgh       14	18	130	      13 - 6 = 7	137

Tie-breakers:
Chicago has won 0 game(s) against Milwaukee and lost 0.
There are 13 games left in the series.
In the scenario above, Chicago wins 0 + 7 = 7 games against Milwaukee and loses 0 + 6 = 6.

The table above shows that if Chicago wins 125 more games (144 total), then they will finish the season in first place in the division.

To see that Chicago's first-place clinch number cannot be less than 125, consider the following scenario in which Chicago wins 124 more games (143 total) but does not finish in first place:

Team             W	L	PCT	GB
Milwaukee        144	18	0.889	0.00
Chicago          143	19	0.883	1.00
Cincinnati       124	38	0.765	20.00
St. Louis        85	77	0.525	59.00
Pittsburgh       69	93	0.426	75.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Milwaukee        19	11	132	0.633	0.0
Chicago          19	12	131	0.613	0.5
Cincinnati       16	15	131	0.516	3.5
St. Louis        14	17	131	0.452	5.5
Pittsburgh       14	18	130	0.438	6.0

Next, we show how the remaining series of games in the division play out in the scenario:


Chicago currently has 0 wins against Cincinnati and 0 losses.
  Chicago wins 12 additional games against Cincinnati and loses 1.
  Chicago wins the series 12 games to 1

Chicago currently has 0 wins against Milwaukee and 0 losses.
  Chicago wins 7 additional games against Milwaukee and loses 6.
  Chicago wins the series 7 games to 6

Chicago currently has 0 wins against Pittsburgh and 0 losses.
  Chicago wins 13 additional games against Pittsburgh and loses 0.
  Chicago wins the series 13 games to 0

Chicago currently has 0 wins against St. Louis and 0 losses.
  Chicago wins 13 additional games against St. Louis and loses 0.
  Chicago wins the series 13 games to 0

Cincinnati currently has 0 wins against Pittsburgh and 0 losses.
  Cincinnati wins 13 additional games against Pittsburgh and loses 0.
  Cincinnati wins the series 13 games to 0

Cincinnati currently has 0 wins against St. Louis and 0 losses.
  Cincinnati wins 13 additional games against St. Louis and loses 0.
  Cincinnati wins the series 13 games to 0

Milwaukee currently has 2 wins against Cincinnati and 1 losses.
  Milwaukee wins 10 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 12 games to 1

Milwaukee currently has 2 wins against Pittsburgh and 2 losses.
  Milwaukee wins 9 additional games against Pittsburgh and loses 0.
  Milwaukee wins the series 11 games to 2

Milwaukee currently has 3 wins against St. Louis and 0 losses.
  Milwaukee wins 10 additional games against St. Louis and loses 0.
  Milwaukee wins the series 13 games to 0

St. Louis currently has 0 wins against Pittsburgh and 0 losses.
  St. Louis wins 13 additional games against Pittsburgh and loses 0.
  St. Louis wins the series 13 games to 0

Chicago wins 79 games agains teams outside the division and loses 0.
Cincinnati wins 81 games agains teams outside the division and loses 1.
Milwaukee wins 90 games agains teams outside the division and loses 0.
Pittsburgh wins 55 games agains teams outside the division and loses 27.
St. Louis wins 58 games agains teams outside the division and loses 24.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Chicago Cubs' magic number
# Chicago's magic number
# Cubs' magic number
# MLB Playoff Race