LOS ANGELES—It’s a century and counting for the Chicago Cubs.

Manny Ramirez and the Los Angeles Dodgers shoved Chicago into another long winter Saturday night, completing a three-game sweep of their first-round playoff series with a 3-1 victory.

The Cubs’ latest flameout has to be among the most galling, considering they fell flat against the Dodgers after their best regular season since 1945—the last time they appeared in the World Series.

The Dodgers dominated this series, outscoring Chicago 20-6 thanks in part to a lot of help from the bumbling Cubs. Curs...

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