Texas Rangers First-Place Clinch Scenario

Texas's traditional magic number (relative to first-place Seattle) is 17 + 131 - 16 + 1 = 133.
Texas's first-place clinch number is 127.
Texas must win 127 more games (143 total) to clinch first place.

If Texas wins 127 more games, their final win total will be at least 143.
The table below shows the best case scenario for each of the other teams if Texas wins 127 of their remaining 131 games and loses the other 4.
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 Texas' column gives the
minimum number of games that each team will lose to Texas if Texas wins 127 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Texas, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Texas 	Maximum W
Seattle          17	14	131	      10 - 4 = 6	142
Houston          10	20	132	       6 - 4 = 2	140
Oakland          15	17	130	      10 - 4 = 6	139
Los Angeles      11	20	131	      13 - 4 = 9	133

The table above shows that if Texas wins 127 more games (143 total), then they will finish the season in first place in the division.

To see that Texas's first-place clinch number cannot be less than 127, consider the following scenario in which Texas wins 126 more games (142 total) but does not finish in first place:

Team             W	L	PCT	GB
Seattle          142	20	0.877	0.00
Texas            142	20	0.877	0.00
Houston          110	52	0.679	32.00
Los Angeles      81	81	0.500	61.00
Oakland          78	84	0.481	64.00

Tie breakers
Seattle wins the season series with Texas 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Seattle          17	14	131	0.548	0.0
Texas            16	15	131	0.516	1.0
Oakland          15	17	130	0.469	2.5
Los Angeles      11	20	131	0.355	6.0
Houston          10	20	132	0.333	6.5

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


Houston currently has 0 wins against Oakland and 0 losses.
  Houston wins 8 additional games against Oakland and loses 5.
  Houston wins the series 8 games to 5

Los Angeles currently has 0 wins against Houston and 0 losses.
  Los Angeles wins 8 additional games against Houston and loses 5.
  Los Angeles wins the series 8 games to 5

Oakland currently has 0 wins against Los Angeles and 0 losses.
  Oakland wins 13 additional games against Los Angeles and loses 0.
  Oakland wins the series 13 games to 0

Seattle currently has 0 wins against Houston and 0 losses.
  Seattle wins 13 additional games against Houston and loses 0.
  Seattle wins the series 13 games to 0

Seattle currently has 0 wins against Los Angeles and 0 losses.
  Seattle wins 13 additional games against Los Angeles and loses 0.
  Seattle wins the series 13 games to 0

Seattle currently has 0 wins against Oakland and 0 losses.
  Seattle wins 13 additional games against Oakland and loses 0.
  Seattle wins the series 13 games to 0

Seattle currently has 2 wins against Texas and 1 losses.
  Seattle wins 5 additional games against Texas and loses 5.
  Seattle wins the series 7 games to 6

Texas currently has 3 wins against Houston and 4 losses.
  Texas wins 6 additional games against Houston and loses 0.
  Texas wins the series 9 games to 4

Texas currently has 0 wins against Los Angeles and 0 losses.
  Texas wins 13 additional games against Los Angeles and loses 0.
  Texas wins the series 13 games to 0

Texas currently has 1 wins against Oakland and 2 losses.
  Texas wins 10 additional games against Oakland and loses 0.
  Texas wins the series 11 games to 2

Houston wins 87 games agains teams outside the division and loses 0.
Los Angeles wins 62 games agains teams outside the division and loses 17.
Oakland wins 45 games agains teams outside the division and loses 36.
Seattle wins 81 games agains teams outside the division and loses 1.
Texas wins 92 games agains teams outside the division and loses 0.

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