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Finding the Third Proportional to 57,496 and 125,118

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Solution

The third proportional to 57,496 and 125,118 is: 272,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496 : 125,118 = 125,118 : x
  2. Step 2: Convert to fraction form
    57,496/125,118 = 125,118/x
  3. Step 3: Cross multiply
    57,496x = 125,118 × 125,118
  4. Step 4: Simplify right side
    57,496x = 15,654,513,924
  5. Step 5: Solve for x
    x = 15,654,513,924/57,496
  6. Step 6: Final answer
    x = 272,271.36

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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.