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Finding the Third Proportional to 63,474 and 138,234

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Solution

The third proportional to 63,474 and 138,234 is: 301,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,474 : 138,234 = 138,234 : x
  2. Step 2: Convert to fraction form
    63,474/138,234 = 138,234/x
  3. Step 3: Cross multiply
    63,474x = 138,234 × 138,234
  4. Step 4: Simplify right side
    63,474x = 19,108,638,756
  5. Step 5: Solve for x
    x = 19,108,638,756/63,474
  6. Step 6: Final answer
    x = 301,046.71

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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.