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Finding the Third Proportional to 57,642 and 124,176

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Solution

The third proportional to 57,642 and 124,176 is: 267,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642 : 124,176 = 124,176 : x
  2. Step 2: Convert to fraction form
    57,642/124,176 = 124,176/x
  3. Step 3: Cross multiply
    57,642x = 124,176 × 124,176
  4. Step 4: Simplify right side
    57,642x = 15,419,678,976
  5. Step 5: Solve for x
    x = 15,419,678,976/57,642
  6. Step 6: Final answer
    x = 267,507.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.