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Finding the Third Proportional to 126,961 and 273,296

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Solution

The third proportional to 126,961 and 273,296 is: 588,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,961 : 273,296 = 273,296 : x
  2. Step 2: Convert to fraction form
    126,961/273,296 = 273,296/x
  3. Step 3: Cross multiply
    126,961x = 273,296 × 273,296
  4. Step 4: Simplify right side
    126,961x = 74,690,703,616
  5. Step 5: Solve for x
    x = 74,690,703,616/126,961
  6. Step 6: Final answer
    x = 588,296.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.