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Finding the Third Proportional to 48,189 and 74,163

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Solution

The third proportional to 48,189 and 74,163 is: 114,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,189 : 74,163 = 74,163 : x
  2. Step 2: Convert to fraction form
    48,189/74,163 = 74,163/x
  3. Step 3: Cross multiply
    48,189x = 74,163 × 74,163
  4. Step 4: Simplify right side
    48,189x = 5,500,150,569
  5. Step 5: Solve for x
    x = 5,500,150,569/48,189
  6. Step 6: Final answer
    x = 114,137.06

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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.