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Finding the Third Proportional to 57,844 and 126,758

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Solution

The third proportional to 57,844 and 126,758 is: 277,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,844 : 126,758 = 126,758 : x
  2. Step 2: Convert to fraction form
    57,844/126,758 = 126,758/x
  3. Step 3: Cross multiply
    57,844x = 126,758 × 126,758
  4. Step 4: Simplify right side
    57,844x = 16,067,590,564
  5. Step 5: Solve for x
    x = 16,067,590,564/57,844
  6. Step 6: Final answer
    x = 277,774.54

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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.