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Finding the Third Proportional to 57,439 and 124,103

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Solution

The third proportional to 57,439 and 124,103 is: 268,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,439 : 124,103 = 124,103 : x
  2. Step 2: Convert to fraction form
    57,439/124,103 = 124,103/x
  3. Step 3: Cross multiply
    57,439x = 124,103 × 124,103
  4. Step 4: Simplify right side
    57,439x = 15,401,554,609
  5. Step 5: Solve for x
    x = 15,401,554,609/57,439
  6. Step 6: Final answer
    x = 268,137.58

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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.