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Finding the Third Proportional to 87,497 and 191,032

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Solution

The third proportional to 87,497 and 191,032 is: 417,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,497 : 191,032 = 191,032 : x
  2. Step 2: Convert to fraction form
    87,497/191,032 = 191,032/x
  3. Step 3: Cross multiply
    87,497x = 191,032 × 191,032
  4. Step 4: Simplify right side
    87,497x = 36,493,225,024
  5. Step 5: Solve for x
    x = 36,493,225,024/87,497
  6. Step 6: Final answer
    x = 417,079.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.