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Finding the Third Proportional to 83,479 and 129,341

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Solution

The third proportional to 83,479 and 129,341 is: 200,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,479 : 129,341 = 129,341 : x
  2. Step 2: Convert to fraction form
    83,479/129,341 = 129,341/x
  3. Step 3: Cross multiply
    83,479x = 129,341 × 129,341
  4. Step 4: Simplify right side
    83,479x = 16,729,094,281
  5. Step 5: Solve for x
    x = 16,729,094,281/83,479
  6. Step 6: Final answer
    x = 200,398.83

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