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Finding the Third Proportional to 57,437 and 124,099

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Solution

The third proportional to 57,437 and 124,099 is: 268,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,437 : 124,099 = 124,099 : x
  2. Step 2: Convert to fraction form
    57,437/124,099 = 124,099/x
  3. Step 3: Cross multiply
    57,437x = 124,099 × 124,099
  4. Step 4: Simplify right side
    57,437x = 15,400,561,801
  5. Step 5: Solve for x
    x = 15,400,561,801/57,437
  6. Step 6: Final answer
    x = 268,129.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.