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Finding the Third Proportional to 83,766 and 129,536

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Solution

The third proportional to 83,766 and 129,536 is: 200,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766 : 129,536 = 129,536 : x
  2. Step 2: Convert to fraction form
    83,766/129,536 = 129,536/x
  3. Step 3: Cross multiply
    83,766x = 129,536 × 129,536
  4. Step 4: Simplify right side
    83,766x = 16,779,575,296
  5. Step 5: Solve for x
    x = 16,779,575,296/83,766
  6. Step 6: Final answer
    x = 200,314.87

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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.