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Finding the Third Proportional to 57,848 and 126,766

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Solution

The third proportional to 57,848 and 126,766 is: 277,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,848 : 126,766 = 126,766 : x
  2. Step 2: Convert to fraction form
    57,848/126,766 = 126,766/x
  3. Step 3: Cross multiply
    57,848x = 126,766 × 126,766
  4. Step 4: Simplify right side
    57,848x = 16,069,618,756
  5. Step 5: Solve for x
    x = 16,069,618,756/57,848
  6. Step 6: Final answer
    x = 277,790.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.