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Finding the Third Proportional to 62,704 and 127,027

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Solution

The third proportional to 62,704 and 127,027 is: 257,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,704 : 127,027 = 127,027 : x
  2. Step 2: Convert to fraction form
    62,704/127,027 = 127,027/x
  3. Step 3: Cross multiply
    62,704x = 127,027 × 127,027
  4. Step 4: Simplify right side
    62,704x = 16,135,858,729
  5. Step 5: Solve for x
    x = 16,135,858,729/62,704
  6. Step 6: Final answer
    x = 257,333.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.