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Finding the Third Proportional to 62,708 and 127,036

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Solution

The third proportional to 62,708 and 127,036 is: 257,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,708 : 127,036 = 127,036 : x
  2. Step 2: Convert to fraction form
    62,708/127,036 = 127,036/x
  3. Step 3: Cross multiply
    62,708x = 127,036 × 127,036
  4. Step 4: Simplify right side
    62,708x = 16,138,145,296
  5. Step 5: Solve for x
    x = 16,138,145,296/62,708
  6. Step 6: Final answer
    x = 257,353.85

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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.