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Finding the Third Proportional to 106,962.75 and 187,679.25

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Solution

The third proportional to 106,962.75 and 187,679.25 is: 329,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,962.75 : 187,679.25 = 187,679.25 : x
  2. Step 2: Convert to fraction form
    106,962.75/187,679.25 = 187,679.25/x
  3. Step 3: Cross multiply
    106,962.75x = 187,679.25 × 187,679.25
  4. Step 4: Simplify right side
    106,962.75x = 35,223,500,880.56
  5. Step 5: Solve for x
    x = 35,223,500,880.56/106,962.75
  6. Step 6: Final answer
    x = 329,306.24

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.