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Finding the Third Proportional to 87,996 and 185,892

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Solution

The third proportional to 87,996 and 185,892 is: 392,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996 : 185,892 = 185,892 : x
  2. Step 2: Convert to fraction form
    87,996/185,892 = 185,892/x
  3. Step 3: Cross multiply
    87,996x = 185,892 × 185,892
  4. Step 4: Simplify right side
    87,996x = 34,555,835,664
  5. Step 5: Solve for x
    x = 34,555,835,664/87,996
  6. Step 6: Final answer
    x = 392,697.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.