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Finding the Third Proportional to 87,894 and 139,745

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Solution

The third proportional to 87,894 and 139,745 is: 222,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,894 : 139,745 = 139,745 : x
  2. Step 2: Convert to fraction form
    87,894/139,745 = 139,745/x
  3. Step 3: Cross multiply
    87,894x = 139,745 × 139,745
  4. Step 4: Simplify right side
    87,894x = 19,528,665,025
  5. Step 5: Solve for x
    x = 19,528,665,025/87,894
  6. Step 6: Final answer
    x = 222,184.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.