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Finding the Third Proportional to 48,676 and 107,920

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Solution

The third proportional to 48,676 and 107,920 is: 239,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676 : 107,920 = 107,920 : x
  2. Step 2: Convert to fraction form
    48,676/107,920 = 107,920/x
  3. Step 3: Cross multiply
    48,676x = 107,920 × 107,920
  4. Step 4: Simplify right side
    48,676x = 11,646,726,400
  5. Step 5: Solve for x
    x = 11,646,726,400/48,676
  6. Step 6: Final answer
    x = 239,270.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.