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Finding the Third Proportional to 57,908 and 125,779

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Solution

The third proportional to 57,908 and 125,779 is: 273,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,908 : 125,779 = 125,779 : x
  2. Step 2: Convert to fraction form
    57,908/125,779 = 125,779/x
  3. Step 3: Cross multiply
    57,908x = 125,779 × 125,779
  4. Step 4: Simplify right side
    57,908x = 15,820,356,841
  5. Step 5: Solve for x
    x = 15,820,356,841/57,908
  6. Step 6: Final answer
    x = 273,198.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.