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Finding the Third Proportional to 87,417 and 191,515

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Solution

The third proportional to 87,417 and 191,515 is: 419,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,417 : 191,515 = 191,515 : x
  2. Step 2: Convert to fraction form
    87,417/191,515 = 191,515/x
  3. Step 3: Cross multiply
    87,417x = 191,515 × 191,515
  4. Step 4: Simplify right side
    87,417x = 36,677,995,225
  5. Step 5: Solve for x
    x = 36,677,995,225/87,417
  6. Step 6: Final answer
    x = 419,575.09

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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.