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Finding the Third Proportional to 126,328 and 168,540

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Solution

The third proportional to 126,328 and 168,540 is: 224,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,328 : 168,540 = 168,540 : x
  2. Step 2: Convert to fraction form
    126,328/168,540 = 168,540/x
  3. Step 3: Cross multiply
    126,328x = 168,540 × 168,540
  4. Step 4: Simplify right side
    126,328x = 28,405,731,600
  5. Step 5: Solve for x
    x = 28,405,731,600/126,328
  6. Step 6: Final answer
    x = 224,856.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.