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Finding the Third Proportional to 126,934 and 270,170

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Solution

The third proportional to 126,934 and 270,170 is: 575,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,934 : 270,170 = 270,170 : x
  2. Step 2: Convert to fraction form
    126,934/270,170 = 270,170/x
  3. Step 3: Cross multiply
    126,934x = 270,170 × 270,170
  4. Step 4: Simplify right side
    126,934x = 72,991,828,900
  5. Step 5: Solve for x
    x = 72,991,828,900/126,934
  6. Step 6: Final answer
    x = 575,037.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.