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Finding the Third Proportional to 57,508 and 124,249

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Solution

The third proportional to 57,508 and 124,249 is: 268,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,508 : 124,249 = 124,249 : x
  2. Step 2: Convert to fraction form
    57,508/124,249 = 124,249/x
  3. Step 3: Cross multiply
    57,508x = 124,249 × 124,249
  4. Step 4: Simplify right side
    57,508x = 15,437,814,001
  5. Step 5: Solve for x
    x = 15,437,814,001/57,508
  6. Step 6: Final answer
    x = 268,446.37

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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.