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Finding the Third Proportional to 83,940 and 131,016

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Solution

The third proportional to 83,940 and 131,016 is: 204,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,940 : 131,016 = 131,016 : x
  2. Step 2: Convert to fraction form
    83,940/131,016 = 131,016/x
  3. Step 3: Cross multiply
    83,940x = 131,016 × 131,016
  4. Step 4: Simplify right side
    83,940x = 17,165,192,256
  5. Step 5: Solve for x
    x = 17,165,192,256/83,940
  6. Step 6: Final answer
    x = 204,493.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.