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Finding the Third Proportional to 83,417 and 129,273

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Solution

The third proportional to 83,417 and 129,273 is: 200,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,417 : 129,273 = 129,273 : x
  2. Step 2: Convert to fraction form
    83,417/129,273 = 129,273/x
  3. Step 3: Cross multiply
    83,417x = 129,273 × 129,273
  4. Step 4: Simplify right side
    83,417x = 16,711,508,529
  5. Step 5: Solve for x
    x = 16,711,508,529/83,417
  6. Step 6: Final answer
    x = 200,336.96

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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.