Texas Rangers First-Place Clinch Scenario

Texas's traditional magic number (relative to first-place Houston) is 36 + 98 - 30 + 1 = 105.
Texas's first-place clinch number is 96.
Texas must win 96 more games (126 total) to clinch first place.

If Texas wins 96 more games, their final win total will be at least 126.
The table below shows the best case scenario for each of the other teams if Texas wins 96 of their remaining 97 games and loses the other 1.
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 96 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          36	28	98	       9 - 1 = 8	126 *See tie-breaking notes below.
Seattle          32	31	99	       7 - 1 = 6	125
Los Angeles      30	33	99	      10 - 1 = 9	120
Oakland          25	41	96	       6 - 1 = 5	116

Tie-breakers:
Texas has won 2 game(s) against Houston and lost 2.
There are 9 games left in the series.
In the scenario above, Texas wins 2 + 8 = 10 games against Houston and loses 2 + 1 = 3.

The table above shows that if Texas wins 96 more games (126 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 96, consider the following scenario in which Texas wins 95 more games (125 total) but does not finish in first place:

Team             W	L	PCT	GB
Seattle          125	37	0.772	0.00
Texas            125	37	0.772	0.00
Houston          105	57	0.648	20.00
Los Angeles      81	81	0.500	44.00
Oakland          44	118	0.272	81.00

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
Houston          36	28	98	0.562	0.0
Seattle          32	31	99	0.508	3.5
Los Angeles      30	33	99	0.476	5.5
Texas            30	35	97	0.462	6.5
Oakland          25	41	96	0.379	12.0

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


Houston currently has 2 wins against Los Angeles and 1 losses.
  Houston wins 10 additional games against Los Angeles and loses 0.
  Houston wins the series 12 games to 1

Houston currently has 2 wins against Oakland and 0 losses.
  Houston wins 11 additional games against Oakland and loses 0.
  Houston wins the series 13 games to 0

Los Angeles currently has 4 wins against Oakland and 0 losses.
  Los Angeles wins 9 additional games against Oakland and loses 0.
  Los Angeles wins the series 13 games to 0

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

Seattle currently has 2 wins against Los Angeles and 2 losses.
  Seattle wins 9 additional games against Los Angeles and loses 0.
  Seattle wins the series 11 games to 2

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

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

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

Texas currently has 3 wins against Los Angeles and 0 losses.
  Texas wins 10 additional games against Los Angeles and loses 0.
  Texas wins the series 13 games to 0

Texas currently has 2 wins against Oakland and 5 losses.
  Texas wins 6 additional games against Oakland and loses 0.
  Texas wins the series 8 games to 5

Houston wins 48 games agains teams outside the division and loses 14.
Los Angeles wins 42 games agains teams outside the division and loses 19.
Oakland wins 19 games agains teams outside the division and loses 45.
Seattle wins 70 games agains teams outside the division and loses 1.
Texas wins 65 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