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Finding the Third Proportional to 126,933 and 275,718

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Solution

The third proportional to 126,933 and 275,718 is: 598,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,933 : 275,718 = 275,718 : x
  2. Step 2: Convert to fraction form
    126,933/275,718 = 275,718/x
  3. Step 3: Cross multiply
    126,933x = 275,718 × 275,718
  4. Step 4: Simplify right side
    126,933x = 76,020,415,524
  5. Step 5: Solve for x
    x = 76,020,415,524/126,933
  6. Step 6: Final answer
    x = 598,901.91

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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.