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Finding the Third Proportional to 126,338 and 173,571

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Solution

The third proportional to 126,338 and 173,571 is: 238,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,338 : 173,571 = 173,571 : x
  2. Step 2: Convert to fraction form
    126,338/173,571 = 173,571/x
  3. Step 3: Cross multiply
    126,338x = 173,571 × 173,571
  4. Step 4: Simplify right side
    126,338x = 30,126,892,041
  5. Step 5: Solve for x
    x = 30,126,892,041/126,338
  6. Step 6: Final answer
    x = 238,462.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.