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Finding the Third Proportional to 57,832 and 126,175

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Solution

The third proportional to 57,832 and 126,175 is: 275,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832 : 126,175 = 126,175 : x
  2. Step 2: Convert to fraction form
    57,832/126,175 = 126,175/x
  3. Step 3: Cross multiply
    57,832x = 126,175 × 126,175
  4. Step 4: Simplify right side
    57,832x = 15,920,130,625
  5. Step 5: Solve for x
    x = 15,920,130,625/57,832
  6. Step 6: Final answer
    x = 275,282.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.