Texas Rangers First-Place Clinch Scenario

Texas's traditional magic number (relative to first-place Houston) is 53 + 60 - 51 + 1 = 63.
Texas's first-place clinch number is 59.
Texas must win 59 more games (110 total) to clinch first place.

If Texas wins 59 more games, their final win total will be at least 110.
The table below shows the best case scenario for each of the other teams if Texas wins all 59 of their remaining games.
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 59 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
Houston          53	49	60	       3 - 0 = 3	110 *See tie-breaking notes below.
Seattle          53	51	58	       7 - 0 = 7	104
Los Angeles      45	58	59	       7 - 0 = 7	97
Oakland          42	63	57	       6 - 0 = 6	93

Tie-breakers:
Texas has won 5 game(s) against Houston and lost 5.
There are 3 games left in the series.
In the scenario above, Texas wins 5 + 3 = 8 games against Houston and loses 5 + 0 = 5.

The table above shows that if Texas wins 59 more games (110 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 59, consider the following scenario in which Texas wins 58 more games (109 total) but does not finish in first place:

Team             W	L	PCT	GB
Houston          110	52	0.679	0.00
Texas            109	53	0.673	1.00
Los Angeles      72	90	0.444	38.00
Oakland          67	95	0.414	43.00
Seattle          66	96	0.407	44.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Houston          53	49	60	0.520	0.0
Seattle          53	51	58	0.510	1.0
Texas            51	52	59	0.495	2.5
Los Angeles      45	58	59	0.437	8.5
Oakland          42	63	57	0.400	12.5

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


Houston currently has 3 wins against Los Angeles and 3 losses.
  Houston wins 7 additional games against Los Angeles and loses 0.
  Houston wins the series 10 games to 3

Houston currently has 7 wins against Oakland and 3 losses.
  Houston wins 3 additional games against Oakland and loses 0.
  Houston wins the series 10 games to 3

Houston currently has 4 wins against Seattle and 6 losses.
  Houston wins 3 additional games against Seattle and loses 0.
  Houston wins the series 7 games to 6

Los Angeles currently has 6 wins against Seattle and 4 losses.
  Los Angeles wins 3 additional games against Seattle and loses 0.
  Los Angeles wins the series 9 games to 4

Oakland currently has 6 wins against Los Angeles and 4 losses.
  Oakland wins 2 additional games against Los Angeles and loses 1.
  Oakland wins the series 8 games to 5

Oakland currently has 2 wins against Seattle and 4 losses.
  Oakland wins 5 additional games against Seattle and loses 2.
  Oakland wins the series 7 games to 6

Texas currently has 5 wins against Houston and 5 losses.
  Texas wins 3 additional games against Houston and loses 0.
  Texas wins the series 8 games to 5

Texas currently has 3 wins against Los Angeles and 3 losses.
  Texas wins 7 additional games against Los Angeles and loses 0.
  Texas wins the series 10 games to 3

Texas currently has 4 wins against Oakland and 3 losses.
  Texas wins 6 additional games against Oakland and loses 0.
  Texas wins the series 10 games to 3

Texas currently has 1 wins against Seattle and 5 losses.
  Texas wins 7 additional games against Seattle and loses 0.
  Texas wins the series 8 games to 5

Houston wins 44 games agains teams outside the division and loses 0.
Los Angeles wins 23 games agains teams outside the division and loses 16.
Oakland wins 18 games agains teams outside the division and loses 20.
Seattle wins 11 games agains teams outside the division and loses 27.
Texas wins 35 games agains teams outside the division and loses 1.

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