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Finding the Third Proportional to 62,839 and 134,674

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Solution

The third proportional to 62,839 and 134,674 is: 288,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,839 : 134,674 = 134,674 : x
  2. Step 2: Convert to fraction form
    62,839/134,674 = 134,674/x
  3. Step 3: Cross multiply
    62,839x = 134,674 × 134,674
  4. Step 4: Simplify right side
    62,839x = 18,137,086,276
  5. Step 5: Solve for x
    x = 18,137,086,276/62,839
  6. Step 6: Final answer
    x = 288,627.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.