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Finding the Third Proportional to 126,900 and 275,670

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Solution

The third proportional to 126,900 and 275,670 is: 598,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,900 : 275,670 = 275,670 : x
  2. Step 2: Convert to fraction form
    126,900/275,670 = 275,670/x
  3. Step 3: Cross multiply
    126,900x = 275,670 × 275,670
  4. Step 4: Simplify right side
    126,900x = 75,993,948,900
  5. Step 5: Solve for x
    x = 75,993,948,900/126,900
  6. Step 6: Final answer
    x = 598,849.09

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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.