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Finding the Third Proportional to 57,829.50 and 126,171

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Solution

The third proportional to 57,829.50 and 126,171 is: 275,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,829.50 : 126,171 = 126,171 : x
  2. Step 2: Convert to fraction form
    57,829.50/126,171 = 126,171/x
  3. Step 3: Cross multiply
    57,829.50x = 126,171 × 126,171
  4. Step 4: Simplify right side
    57,829.50x = 15,919,121,241
  5. Step 5: Solve for x
    x = 15,919,121,241/57,829.50
  6. Step 6: Final answer
    x = 275,276.83

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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.