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Finding the Third Proportional to 87,732 and 192,124

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Solution

The third proportional to 87,732 and 192,124 is: 420,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,732 : 192,124 = 192,124 : x
  2. Step 2: Convert to fraction form
    87,732/192,124 = 192,124/x
  3. Step 3: Cross multiply
    87,732x = 192,124 × 192,124
  4. Step 4: Simplify right side
    87,732x = 36,911,631,376
  5. Step 5: Solve for x
    x = 36,911,631,376/87,732
  6. Step 6: Final answer
    x = 420,731.68

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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.