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Finding the Third Proportional to 59,793 and 126,874

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Solution

The third proportional to 59,793 and 126,874 is: 269,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,793 : 126,874 = 126,874 : x
  2. Step 2: Convert to fraction form
    59,793/126,874 = 126,874/x
  3. Step 3: Cross multiply
    59,793x = 126,874 × 126,874
  4. Step 4: Simplify right side
    59,793x = 16,097,011,876
  5. Step 5: Solve for x
    x = 16,097,011,876/59,793
  6. Step 6: Final answer
    x = 269,212.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.