Michael J. answered 02/07/16
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Effective High School STEM Tutor & CUNY Math Peer Leader
In order to have gravitational force of attraction, two objects must obey Newton's third law: all forces come in pairs. Or you can say for every action there is a reaction.
The only objects that react to you when you sit down are your chair and Earth. When you sit on your chair, you exert a downward force on it. At the same time, the chair is exerting a force of equal magnitude to you in the opposite direction. This is why the chair does not collapse.
The Earth does the same thing. However, the force exerted on you by the Earth is greater than the force the chair exerts on you.
Therefore, your chair exerts the least gravitation force of attraction.