Texas Rangers First-Place Clinch Scenario

Texas's traditional magic number (relative to first-place Seattle) is 47 + 71 - 45 + 1 = 74.
Texas's first-place clinch number is 69.
Texas must win 69 more games (114 total) to clinch first place.

If Texas wins 69 more games, their final win total will be at least 114.
The table below shows the best case scenario for each of the other teams if Texas wins 69 of their remaining 72 games and loses the other 3.
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 69 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          47	44	71	       7 - 3 = 4	114 *See tie-breaking notes below.
Houston          45	47	70	       6 - 3 = 3	112
Oakland          41	49	72	       6 - 3 = 3	110
LAAngels         36	55	71	      10 - 3 = 7	100

Tie-breakers:
Texas has won 4 game(s) against Seattle and lost 2.
There are 7 games left in the series.
In the scenario above, Texas wins 4 + 4 = 8 games against Seattle and loses 2 + 3 = 5.

The table above shows that if Texas wins 69 more games (114 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 69, consider the following scenario in which Texas wins 68 more games (113 total) but does not finish in first place:

Team             W	L	PCT	GB
Houston          113	49	0.698	0.00
Texas            113	49	0.698	0.00
Seattle          100	62	0.617	13.00
Oakland          63	99	0.389	50.00
LAAngels         60	102	0.370	53.00

Tie breakers
Houston wins the season series with Texas 9 games to 4.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Seattle          47	44	71	0.516	0.0
Texas            45	45	72	0.500	1.5
Houston          45	47	70	0.489	2.5
Oakland          41	49	72	0.456	5.5
LAAngels         36	55	71	0.396	11.0

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


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

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

Houston currently has 5 wins against Texas and 2 losses.
  Houston wins 4 additional games against Texas and loses 2.
  Houston wins the series 9 games to 4

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

Seattle currently has 7 wins against Houston and 1 losses.
  Seattle wins 0 additional games against Houston and loses 5.
  Seattle wins the series 7 games to 6

Seattle currently has 4 wins against LAAngels and 2 losses.
  Seattle wins 5 additional games against LAAngels and loses 2.
  Seattle wins the series 9 games to 4

Seattle currently has 4 wins against Oakland and 2 losses.
  Seattle wins 4 additional games against Oakland and loses 3.
  Seattle wins the series 8 games to 5

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

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

Texas currently has 4 wins against Seattle and 2 losses.
  Texas wins 7 additional games against Seattle and loses 0.
  Texas wins the series 11 games to 2

Houston wins 46 games agains teams outside the division and loses 0.
LAAngels wins 22 games agains teams outside the division and loses 24.
Oakland wins 17 games agains teams outside the division and loses 33.
Seattle wins 44 games agains teams outside the division and loses 1.
Texas wins 43 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