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Finding the Third Proportional to 62,872 and 137,404

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Solution

The third proportional to 62,872 and 137,404 is: 300,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,872 : 137,404 = 137,404 : x
  2. Step 2: Convert to fraction form
    62,872/137,404 = 137,404/x
  3. Step 3: Cross multiply
    62,872x = 137,404 × 137,404
  4. Step 4: Simplify right side
    62,872x = 18,879,859,216
  5. Step 5: Solve for x
    x = 18,879,859,216/62,872
  6. Step 6: Final answer
    x = 300,290.42

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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.