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Finding the Third Proportional to 87,272 and 188,469

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Solution

The third proportional to 87,272 and 188,469 is: 407,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,272 : 188,469 = 188,469 : x
  2. Step 2: Convert to fraction form
    87,272/188,469 = 188,469/x
  3. Step 3: Cross multiply
    87,272x = 188,469 × 188,469
  4. Step 4: Simplify right side
    87,272x = 35,520,563,961
  5. Step 5: Solve for x
    x = 35,520,563,961/87,272
  6. Step 6: Final answer
    x = 407,009.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.