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Finding the Third Proportional to 126,824 and 274,782

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Solution

The third proportional to 126,824 and 274,782 is: 595,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,824 : 274,782 = 274,782 : x
  2. Step 2: Convert to fraction form
    126,824/274,782 = 274,782/x
  3. Step 3: Cross multiply
    126,824x = 274,782 × 274,782
  4. Step 4: Simplify right side
    126,824x = 75,505,147,524
  5. Step 5: Solve for x
    x = 75,505,147,524/126,824
  6. Step 6: Final answer
    x = 595,353.78

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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.