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Finding the Third Proportional to 126,672 and 200,571

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Solution

The third proportional to 126,672 and 200,571 is: 317,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,672 : 200,571 = 200,571 : x
  2. Step 2: Convert to fraction form
    126,672/200,571 = 200,571/x
  3. Step 3: Cross multiply
    126,672x = 200,571 × 200,571
  4. Step 4: Simplify right side
    126,672x = 40,228,726,041
  5. Step 5: Solve for x
    x = 40,228,726,041/126,672
  6. Step 6: Final answer
    x = 317,581.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.