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Finding the Third Proportional to 57,758 and 126,544

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Solution

The third proportional to 57,758 and 126,544 is: 277,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758 : 126,544 = 126,544 : x
  2. Step 2: Convert to fraction form
    57,758/126,544 = 126,544/x
  3. Step 3: Cross multiply
    57,758x = 126,544 × 126,544
  4. Step 4: Simplify right side
    57,758x = 16,013,383,936
  5. Step 5: Solve for x
    x = 16,013,383,936/57,758
  6. Step 6: Final answer
    x = 277,249.63

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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.