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Finding the Third Proportional to 48,878 and 107,098

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Solution

The third proportional to 48,878 and 107,098 is: 234,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878 : 107,098 = 107,098 : x
  2. Step 2: Convert to fraction form
    48,878/107,098 = 107,098/x
  3. Step 3: Cross multiply
    48,878x = 107,098 × 107,098
  4. Step 4: Simplify right side
    48,878x = 11,469,981,604
  5. Step 5: Solve for x
    x = 11,469,981,604/48,878
  6. Step 6: Final answer
    x = 234,665.53

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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.