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Finding the Third Proportional to 62,704 and 136,832

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Solution

The third proportional to 62,704 and 136,832 is: 298,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,704 : 136,832 = 136,832 : x
  2. Step 2: Convert to fraction form
    62,704/136,832 = 136,832/x
  3. Step 3: Cross multiply
    62,704x = 136,832 × 136,832
  4. Step 4: Simplify right side
    62,704x = 18,722,996,224
  5. Step 5: Solve for x
    x = 18,722,996,224/62,704
  6. Step 6: Final answer
    x = 298,593.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.