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Finding the Third Proportional to 57,456 and 125,118

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Solution

The third proportional to 57,456 and 125,118 is: 272,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456 : 125,118 = 125,118 : x
  2. Step 2: Convert to fraction form
    57,456/125,118 = 125,118/x
  3. Step 3: Cross multiply
    57,456x = 125,118 × 125,118
  4. Step 4: Simplify right side
    57,456x = 15,654,513,924
  5. Step 5: Solve for x
    x = 15,654,513,924/57,456
  6. Step 6: Final answer
    x = 272,460.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.