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Finding the Third Proportional to 48,721.50 and 75,183.19

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Solution

The third proportional to 48,721.50 and 75,183.19 is: 116,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,721.50 : 75,183.19 = 75,183.19 : x
  2. Step 2: Convert to fraction form
    48,721.50/75,183.19 = 75,183.19/x
  3. Step 3: Cross multiply
    48,721.50x = 75,183.19 × 75,183.19
  4. Step 4: Simplify right side
    48,721.50x = 5,652,511,682.66
  5. Step 5: Solve for x
    x = 5,652,511,682.66/48,721.50
  6. Step 6: Final answer
    x = 116,016.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.