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Finding the Third Proportional to 83,916 and 131,652

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Solution

The third proportional to 83,916 and 131,652 is: 206,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916 : 131,652 = 131,652 : x
  2. Step 2: Convert to fraction form
    83,916/131,652 = 131,652/x
  3. Step 3: Cross multiply
    83,916x = 131,652 × 131,652
  4. Step 4: Simplify right side
    83,916x = 17,332,249,104
  5. Step 5: Solve for x
    x = 17,332,249,104/83,916
  6. Step 6: Final answer
    x = 206,542.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.