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Finding the Third Proportional to 87,385 and 191,124

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Solution

The third proportional to 87,385 and 191,124 is: 418,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,385 : 191,124 = 191,124 : x
  2. Step 2: Convert to fraction form
    87,385/191,124 = 191,124/x
  3. Step 3: Cross multiply
    87,385x = 191,124 × 191,124
  4. Step 4: Simplify right side
    87,385x = 36,528,383,376
  5. Step 5: Solve for x
    x = 36,528,383,376/87,385
  6. Step 6: Final answer
    x = 418,016.63

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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.