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Finding the Third Proportional to 62,832 and 135,505

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Solution

The third proportional to 62,832 and 135,505 is: 292,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,832 : 135,505 = 135,505 : x
  2. Step 2: Convert to fraction form
    62,832/135,505 = 135,505/x
  3. Step 3: Cross multiply
    62,832x = 135,505 × 135,505
  4. Step 4: Simplify right side
    62,832x = 18,361,605,025
  5. Step 5: Solve for x
    x = 18,361,605,025/62,832
  6. Step 6: Final answer
    x = 292,233.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.