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Finding the Third Proportional to 54,372 and 126,122

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Solution

The third proportional to 54,372 and 126,122 is: 292,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,372 : 126,122 = 126,122 : x
  2. Step 2: Convert to fraction form
    54,372/126,122 = 126,122/x
  3. Step 3: Cross multiply
    54,372x = 126,122 × 126,122
  4. Step 4: Simplify right side
    54,372x = 15,906,758,884
  5. Step 5: Solve for x
    x = 15,906,758,884/54,372
  6. Step 6: Final answer
    x = 292,554.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.