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Finding the Third Proportional to 87,792 and 171,156

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Solution

The third proportional to 87,792 and 171,156 is: 333,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,792 : 171,156 = 171,156 : x
  2. Step 2: Convert to fraction form
    87,792/171,156 = 171,156/x
  3. Step 3: Cross multiply
    87,792x = 171,156 × 171,156
  4. Step 4: Simplify right side
    87,792x = 29,294,376,336
  5. Step 5: Solve for x
    x = 29,294,376,336/87,792
  6. Step 6: Final answer
    x = 333,679.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.