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Finding the Third Proportional to 87,662 and 142,425

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Solution

The third proportional to 87,662 and 142,425 is: 231,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662 : 142,425 = 142,425 : x
  2. Step 2: Convert to fraction form
    87,662/142,425 = 142,425/x
  3. Step 3: Cross multiply
    87,662x = 142,425 × 142,425
  4. Step 4: Simplify right side
    87,662x = 20,284,880,625
  5. Step 5: Solve for x
    x = 20,284,880,625/87,662
  6. Step 6: Final answer
    x = 231,398.79

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.