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Finding the Third Proportional to 87,327 and 162,395

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Solution

The third proportional to 87,327 and 162,395 is: 301,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,327 : 162,395 = 162,395 : x
  2. Step 2: Convert to fraction form
    87,327/162,395 = 162,395/x
  3. Step 3: Cross multiply
    87,327x = 162,395 × 162,395
  4. Step 4: Simplify right side
    87,327x = 26,372,136,025
  5. Step 5: Solve for x
    x = 26,372,136,025/87,327
  6. Step 6: Final answer
    x = 301,992.92

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.