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Finding the Third Proportional to 87,366 and 191,089

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Solution

The third proportional to 87,366 and 191,089 is: 417,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,366 : 191,089 = 191,089 : x
  2. Step 2: Convert to fraction form
    87,366/191,089 = 191,089/x
  3. Step 3: Cross multiply
    87,366x = 191,089 × 191,089
  4. Step 4: Simplify right side
    87,366x = 36,515,005,921
  5. Step 5: Solve for x
    x = 36,515,005,921/87,366
  6. Step 6: Final answer
    x = 417,954.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.