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Finding the Third Proportional to 83,942 and 131,019

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Solution

The third proportional to 83,942 and 131,019 is: 204,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,942 : 131,019 = 131,019 : x
  2. Step 2: Convert to fraction form
    83,942/131,019 = 131,019/x
  3. Step 3: Cross multiply
    83,942x = 131,019 × 131,019
  4. Step 4: Simplify right side
    83,942x = 17,165,978,361
  5. Step 5: Solve for x
    x = 17,165,978,361/83,942
  6. Step 6: Final answer
    x = 204,498.09

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