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Finding the Third Proportional to 67,687 and 148,874

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Solution

The third proportional to 67,687 and 148,874 is: 327,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,687 : 148,874 = 148,874 : x
  2. Step 2: Convert to fraction form
    67,687/148,874 = 148,874/x
  3. Step 3: Cross multiply
    67,687x = 148,874 × 148,874
  4. Step 4: Simplify right side
    67,687x = 22,163,467,876
  5. Step 5: Solve for x
    x = 22,163,467,876/67,687
  6. Step 6: Final answer
    x = 327,440.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.