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Finding the Third Proportional to 50,627 and 67,192

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Solution

The third proportional to 50,627 and 67,192 is: 89,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,627 : 67,192 = 67,192 : x
  2. Step 2: Convert to fraction form
    50,627/67,192 = 67,192/x
  3. Step 3: Cross multiply
    50,627x = 67,192 × 67,192
  4. Step 4: Simplify right side
    50,627x = 4,514,764,864
  5. Step 5: Solve for x
    x = 4,514,764,864/50,627
  6. Step 6: Final answer
    x = 89,177.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.