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Finding the Third Proportional to 57,360 and 126,189

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Solution

The third proportional to 57,360 and 126,189 is: 277,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,360 : 126,189 = 126,189 : x
  2. Step 2: Convert to fraction form
    57,360/126,189 = 126,189/x
  3. Step 3: Cross multiply
    57,360x = 126,189 × 126,189
  4. Step 4: Simplify right side
    57,360x = 15,923,663,721
  5. Step 5: Solve for x
    x = 15,923,663,721/57,360
  6. Step 6: Final answer
    x = 277,609.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.