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Finding the Third Proportional to 57,927 and 126,925

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Solution

The third proportional to 57,927 and 126,925 is: 278,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,927 : 126,925 = 126,925 : x
  2. Step 2: Convert to fraction form
    57,927/126,925 = 126,925/x
  3. Step 3: Cross multiply
    57,927x = 126,925 × 126,925
  4. Step 4: Simplify right side
    57,927x = 16,109,955,625
  5. Step 5: Solve for x
    x = 16,109,955,625/57,927
  6. Step 6: Final answer
    x = 278,107.89

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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.