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Finding the Third Proportional to 60,327 and 131,829

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Solution

The third proportional to 60,327 and 131,829 is: 288,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,327 : 131,829 = 131,829 : x
  2. Step 2: Convert to fraction form
    60,327/131,829 = 131,829/x
  3. Step 3: Cross multiply
    60,327x = 131,829 × 131,829
  4. Step 4: Simplify right side
    60,327x = 17,378,885,241
  5. Step 5: Solve for x
    x = 17,378,885,241/60,327
  6. Step 6: Final answer
    x = 288,078.06

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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.