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Finding the Third Proportional to 131,992 and 179,327

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Solution

The third proportional to 131,992 and 179,327 is: 243,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,992 : 179,327 = 179,327 : x
  2. Step 2: Convert to fraction form
    131,992/179,327 = 179,327/x
  3. Step 3: Cross multiply
    131,992x = 179,327 × 179,327
  4. Step 4: Simplify right side
    131,992x = 32,158,172,929
  5. Step 5: Solve for x
    x = 32,158,172,929/131,992
  6. Step 6: Final answer
    x = 243,637.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.