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Finding the Third Proportional to 126,960 and 275,790

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Solution

The third proportional to 126,960 and 275,790 is: 599,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,960 : 275,790 = 275,790 : x
  2. Step 2: Convert to fraction form
    126,960/275,790 = 275,790/x
  3. Step 3: Cross multiply
    126,960x = 275,790 × 275,790
  4. Step 4: Simplify right side
    126,960x = 76,060,124,100
  5. Step 5: Solve for x
    x = 76,060,124,100/126,960
  6. Step 6: Final answer
    x = 599,087.30

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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.