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Finding the Third Proportional to 57,408 and 126,176

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Solution

The third proportional to 57,408 and 126,176 is: 277,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408 : 126,176 = 126,176 : x
  2. Step 2: Convert to fraction form
    57,408/126,176 = 126,176/x
  3. Step 3: Cross multiply
    57,408x = 126,176 × 126,176
  4. Step 4: Simplify right side
    57,408x = 15,920,382,976
  5. Step 5: Solve for x
    x = 15,920,382,976/57,408
  6. Step 6: Final answer
    x = 277,319.94

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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.