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Finding the Third Proportional to 48,934 and 107,983

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Solution

The third proportional to 48,934 and 107,983 is: 238,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,934 : 107,983 = 107,983 : x
  2. Step 2: Convert to fraction form
    48,934/107,983 = 107,983/x
  3. Step 3: Cross multiply
    48,934x = 107,983 × 107,983
  4. Step 4: Simplify right side
    48,934x = 11,660,328,289
  5. Step 5: Solve for x
    x = 11,660,328,289/48,934
  6. Step 6: Final answer
    x = 238,286.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.