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Finding the Third Proportional to 62,941 and 136,839

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Solution

The third proportional to 62,941 and 136,839 is: 297,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,941 : 136,839 = 136,839 : x
  2. Step 2: Convert to fraction form
    62,941/136,839 = 136,839/x
  3. Step 3: Cross multiply
    62,941x = 136,839 × 136,839
  4. Step 4: Simplify right side
    62,941x = 18,724,911,921
  5. Step 5: Solve for x
    x = 18,724,911,921/62,941
  6. Step 6: Final answer
    x = 297,499.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.