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Finding the Third Proportional to 83,614 and 129,522

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Solution

The third proportional to 83,614 and 129,522 is: 200,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614 : 129,522 = 129,522 : x
  2. Step 2: Convert to fraction form
    83,614/129,522 = 129,522/x
  3. Step 3: Cross multiply
    83,614x = 129,522 × 129,522
  4. Step 4: Simplify right side
    83,614x = 16,775,948,484
  5. Step 5: Solve for x
    x = 16,775,948,484/83,614
  6. Step 6: Final answer
    x = 200,635.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.