Texas Rangers First-Place Clinch Scenario

Texas's traditional magic number (relative to first-place Houston) is 6 + 151 - 5 + 1 = 153.
Texas's first-place clinch number is 146.
Texas must win 146 more games (151 total) to clinch first place.

If Texas wins 146 more games, their final win total will be at least 151.
The table below shows the best case scenario for each of the other teams if Texas wins 146 of their remaining 152 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 Texas' column gives the
minimum number of games that each team will lose to Texas if Texas wins 146 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          6	5	151	      13 - 6 = 7	150
Los Angeles      6	5	151	      13 - 6 = 7	150
Oakland          3	6	153	      13 - 6 = 7	149
Seattle          4	7	151	      12 - 6 = 6	149

The table above shows that if Texas wins 146 more games (151 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 146, consider the following scenario in which Texas wins 145 more games (150 total) but does not finish in first place:

Team             W	L	PCT	GB
Houston          151	11	0.932	0.00
Texas            150	12	0.926	1.00
Los Angeles      48	114	0.296	103.00
Oakland          33	129	0.204	118.00
Seattle          30	132	0.185	121.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Houston          6	5	151	0.545	0.0
Los Angeles      6	5	151	0.545	0.0
Texas            5	5	152	0.500	0.5
Seattle          4	7	151	0.364	2.0
Oakland          3	6	153	0.333	2.0

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

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

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

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

Los Angeles currently has 0 wins against Oakland and 0 losses.
  Los Angeles wins 7 additional games against Oakland and loses 6.
  Los Angeles wins the series 7 games to 6

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

Seattle currently has 1 wins against Los Angeles and 2 losses.
  Seattle wins 8 additional games against Los Angeles and loses 2.
  Seattle 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 0 wins against Oakland and 0 losses.
  Texas wins 13 additional games against Oakland and loses 0.
  Texas wins the series 13 games to 0

Texas currently has 1 wins against Seattle and 0 losses.
  Texas wins 12 additional games against Seattle and loses 0.
  Texas wins the series 13 games to 0

Houston wins 106 games agains teams outside the division and loses 0.
Los Angeles wins 33 games agains teams outside the division and loses 73.
Oakland wins 15 games agains teams outside the division and loses 89.
Seattle wins 14 games agains teams outside the division and loses 89.
Texas wins 101 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