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Finding the Third Proportional to 62,230 and 136,555

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Solution

The third proportional to 62,230 and 136,555 is: 299,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,230 : 136,555 = 136,555 : x
  2. Step 2: Convert to fraction form
    62,230/136,555 = 136,555/x
  3. Step 3: Cross multiply
    62,230x = 136,555 × 136,555
  4. Step 4: Simplify right side
    62,230x = 18,647,268,025
  5. Step 5: Solve for x
    x = 18,647,268,025/62,230
  6. Step 6: Final answer
    x = 299,650.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.