Texas Rangers First-Place Clinch Scenario

Texas's traditional magic number (relative to second-place Seattle) is 11 + 140 - 12 + 1 = 140.
Texas's first-place clinch number is 134.
Texas must win 134 more games (146 total) to clinch first place.

If Texas wins 134 more games, their final win total will be at least 146.
The table below shows the best case scenario for each of the other teams if Texas wins 134 of their remaining 139 games and loses the other 5.
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 134 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          7	16	139	       6 - 5 = 1	145
Oakland          9	14	139	      10 - 5 = 5	143
Seattle          11	11	140	      13 - 5 = 8	143
Los Angeles      9	14	139	      13 - 5 = 8	140

The table above shows that if Texas wins 134 more games (146 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 134, consider the following scenario in which Texas wins 133 more games (145 total) but does not finish in first place:

Team             W	L	PCT	GB
Houston          146	16	0.901	0.00
Texas            145	17	0.895	1.00
Los Angeles      61	101	0.377	85.00
Oakland          41	121	0.253	105.00
Seattle          26	136	0.160	120.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Texas            12	11	139	0.522	0.0
Seattle          11	11	140	0.500	0.5
Los Angeles      9	14	139	0.391	3.0
Oakland          9	14	139	0.391	3.0
Houston          7	16	139	0.304	5.0

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


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

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

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

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

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

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

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

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

Houston wins 94 games agains teams outside the division and loses 0.
Los Angeles wins 26 games agains teams outside the division and loses 61.
Oakland wins 19 games agains teams outside the division and loses 71.
Seattle wins 15 games agains teams outside the division and loses 73.
Texas wins 97 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