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Finding the Third Proportional to 126,934 and 275,716

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Solution

The third proportional to 126,934 and 275,716 is: 598,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,934 : 275,716 = 275,716 : x
  2. Step 2: Convert to fraction form
    126,934/275,716 = 275,716/x
  3. Step 3: Cross multiply
    126,934x = 275,716 × 275,716
  4. Step 4: Simplify right side
    126,934x = 76,019,312,656
  5. Step 5: Solve for x
    x = 76,019,312,656/126,934
  6. Step 6: Final answer
    x = 598,888.50

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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.