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Finding the Third Proportional to 87,469 and 183,751

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Solution

The third proportional to 87,469 and 183,751 is: 386,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,469 : 183,751 = 183,751 : x
  2. Step 2: Convert to fraction form
    87,469/183,751 = 183,751/x
  3. Step 3: Cross multiply
    87,469x = 183,751 × 183,751
  4. Step 4: Simplify right side
    87,469x = 33,764,430,001
  5. Step 5: Solve for x
    x = 33,764,430,001/87,469
  6. Step 6: Final answer
    x = 386,015.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.