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Finding the Third Proportional to 126,193 and 277,991

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Solution

The third proportional to 126,193 and 277,991 is: 612,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,193 : 277,991 = 277,991 : x
  2. Step 2: Convert to fraction form
    126,193/277,991 = 277,991/x
  3. Step 3: Cross multiply
    126,193x = 277,991 × 277,991
  4. Step 4: Simplify right side
    126,193x = 77,278,996,081
  5. Step 5: Solve for x
    x = 77,278,996,081/126,193
  6. Step 6: Final answer
    x = 612,387.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.