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Finding the Third Proportional to 71,916 and 158,496

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Solution

The third proportional to 71,916 and 158,496 is: 349,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,916 : 158,496 = 158,496 : x
  2. Step 2: Convert to fraction form
    71,916/158,496 = 158,496/x
  3. Step 3: Cross multiply
    71,916x = 158,496 × 158,496
  4. Step 4: Simplify right side
    71,916x = 25,120,982,016
  5. Step 5: Solve for x
    x = 25,120,982,016/71,916
  6. Step 6: Final answer
    x = 349,310.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.