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Finding the Third Proportional to 48,183 and 74,149.50

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Solution

The third proportional to 48,183 and 74,149.50 is: 114,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,183 : 74,149.50 = 74,149.50 : x
  2. Step 2: Convert to fraction form
    48,183/74,149.50 = 74,149.50/x
  3. Step 3: Cross multiply
    48,183x = 74,149.50 × 74,149.50
  4. Step 4: Simplify right side
    48,183x = 5,498,148,350.25
  5. Step 5: Solve for x
    x = 5,498,148,350.25/48,183
  6. Step 6: Final answer
    x = 114,109.71

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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.