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Finding the Third Proportional to 126,992 and 275,876

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Solution

The third proportional to 126,992 and 275,876 is: 599,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,992 : 275,876 = 275,876 : x
  2. Step 2: Convert to fraction form
    126,992/275,876 = 275,876/x
  3. Step 3: Cross multiply
    126,992x = 275,876 × 275,876
  4. Step 4: Simplify right side
    126,992x = 76,107,567,376
  5. Step 5: Solve for x
    x = 76,107,567,376/126,992
  6. Step 6: Final answer
    x = 599,309.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.