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Finding the Third Proportional to 62,839 and 136,734

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Solution

The third proportional to 62,839 and 136,734 is: 297,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,839 : 136,734 = 136,734 : x
  2. Step 2: Convert to fraction form
    62,839/136,734 = 136,734/x
  3. Step 3: Cross multiply
    62,839x = 136,734 × 136,734
  4. Step 4: Simplify right side
    62,839x = 18,696,186,756
  5. Step 5: Solve for x
    x = 18,696,186,756/62,839
  6. Step 6: Final answer
    x = 297,525.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.