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Finding the Third Proportional to 54,884 and 121,192

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Solution

The third proportional to 54,884 and 121,192 is: 267,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,884 : 121,192 = 121,192 : x
  2. Step 2: Convert to fraction form
    54,884/121,192 = 121,192/x
  3. Step 3: Cross multiply
    54,884x = 121,192 × 121,192
  4. Step 4: Simplify right side
    54,884x = 14,687,500,864
  5. Step 5: Solve for x
    x = 14,687,500,864/54,884
  6. Step 6: Final answer
    x = 267,609.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.