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Finding the Third Proportional to 60,696 and 123,801

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Solution

The third proportional to 60,696 and 123,801 is: 252,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,696 : 123,801 = 123,801 : x
  2. Step 2: Convert to fraction form
    60,696/123,801 = 123,801/x
  3. Step 3: Cross multiply
    60,696x = 123,801 × 123,801
  4. Step 4: Simplify right side
    60,696x = 15,326,687,601
  5. Step 5: Solve for x
    x = 15,326,687,601/60,696
  6. Step 6: Final answer
    x = 252,515.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.