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Finding the Third Proportional to 87,714 and 192,092

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Solution

The third proportional to 87,714 and 192,092 is: 420,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,714 : 192,092 = 192,092 : x
  2. Step 2: Convert to fraction form
    87,714/192,092 = 192,092/x
  3. Step 3: Cross multiply
    87,714x = 192,092 × 192,092
  4. Step 4: Simplify right side
    87,714x = 36,899,336,464
  5. Step 5: Solve for x
    x = 36,899,336,464/87,714
  6. Step 6: Final answer
    x = 420,677.84

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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.