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Finding the Third Proportional to 80,655.75 and 159,327

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Solution

The third proportional to 80,655.75 and 159,327 is: 314,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,655.75 : 159,327 = 159,327 : x
  2. Step 2: Convert to fraction form
    80,655.75/159,327 = 159,327/x
  3. Step 3: Cross multiply
    80,655.75x = 159,327 × 159,327
  4. Step 4: Simplify right side
    80,655.75x = 25,385,092,929
  5. Step 5: Solve for x
    x = 25,385,092,929/80,655.75
  6. Step 6: Final answer
    x = 314,733.83

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.