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Finding the Third Proportional to 126,726 and 275,504

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Solution

The third proportional to 126,726 and 275,504 is: 598,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,726 : 275,504 = 275,504 : x
  2. Step 2: Convert to fraction form
    126,726/275,504 = 275,504/x
  3. Step 3: Cross multiply
    126,726x = 275,504 × 275,504
  4. Step 4: Simplify right side
    126,726x = 75,902,454,016
  5. Step 5: Solve for x
    x = 75,902,454,016/126,726
  6. Step 6: Final answer
    x = 598,949.34

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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.