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Finding the Third Proportional to 87,984 and 139,815

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Solution

The third proportional to 87,984 and 139,815 is: 222,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,984 : 139,815 = 139,815 : x
  2. Step 2: Convert to fraction form
    87,984/139,815 = 139,815/x
  3. Step 3: Cross multiply
    87,984x = 139,815 × 139,815
  4. Step 4: Simplify right side
    87,984x = 19,548,234,225
  5. Step 5: Solve for x
    x = 19,548,234,225/87,984
  6. Step 6: Final answer
    x = 222,179.42

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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.