Divide Line Into Sections Using Points Offset from It in ArcGIS Desktop?

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I have track (line) and milemarkers (point). Each point is offset by a different distance. Is there a way to find where each point would intersect the line if going perpeniduclarly out from the line?

As an analogy, imagine riding a train, sitting perpendicular to the direction of travel, looking out the window. Each time you see a milepost directly in front of you, you make note of your position on the track.



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