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Finding the Third Proportional to 57,794 and 126,028

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Solution

The third proportional to 57,794 and 126,028 is: 274,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,794 : 126,028 = 126,028 : x
  2. Step 2: Convert to fraction form
    57,794/126,028 = 126,028/x
  3. Step 3: Cross multiply
    57,794x = 126,028 × 126,028
  4. Step 4: Simplify right side
    57,794x = 15,883,056,784
  5. Step 5: Solve for x
    x = 15,883,056,784/57,794
  6. Step 6: Final answer
    x = 274,821.90

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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.