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Finding the Third Proportional to 126,332 and 168,546

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Solution

The third proportional to 126,332 and 168,546 is: 224,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,332 : 168,546 = 168,546 : x
  2. Step 2: Convert to fraction form
    126,332/168,546 = 168,546/x
  3. Step 3: Cross multiply
    126,332x = 168,546 × 168,546
  4. Step 4: Simplify right side
    126,332x = 28,407,754,116
  5. Step 5: Solve for x
    x = 28,407,754,116/126,332
  6. Step 6: Final answer
    x = 224,865.86

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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.