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Finding the Third Proportional to 62,481 and 137,122

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Solution

The third proportional to 62,481 and 137,122 is: 300,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,481 : 137,122 = 137,122 : x
  2. Step 2: Convert to fraction form
    62,481/137,122 = 137,122/x
  3. Step 3: Cross multiply
    62,481x = 137,122 × 137,122
  4. Step 4: Simplify right side
    62,481x = 18,802,442,884
  5. Step 5: Solve for x
    x = 18,802,442,884/62,481
  6. Step 6: Final answer
    x = 300,930.57

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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.