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Finding the Third Proportional to 83,473 and 129,198

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Solution

The third proportional to 83,473 and 129,198 is: 199,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473 : 129,198 = 129,198 : x
  2. Step 2: Convert to fraction form
    83,473/129,198 = 129,198/x
  3. Step 3: Cross multiply
    83,473x = 129,198 × 129,198
  4. Step 4: Simplify right side
    83,473x = 16,692,123,204
  5. Step 5: Solve for x
    x = 16,692,123,204/83,473
  6. Step 6: Final answer
    x = 199,970.33

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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.