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Finding the Third Proportional to 57,008 and 124,744

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Solution

The third proportional to 57,008 and 124,744 is: 272,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,008 : 124,744 = 124,744 : x
  2. Step 2: Convert to fraction form
    57,008/124,744 = 124,744/x
  3. Step 3: Cross multiply
    57,008x = 124,744 × 124,744
  4. Step 4: Simplify right side
    57,008x = 15,561,065,536
  5. Step 5: Solve for x
    x = 15,561,065,536/57,008
  6. Step 6: Final answer
    x = 272,962.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.