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Finding the Third Proportional to 47,872.13 and 73,104.19

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Solution

The third proportional to 47,872.13 and 73,104.19 is: 111,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.13 : 73,104.19 = 73,104.19 : x
  2. Step 2: Convert to fraction form
    47,872.13/73,104.19 = 73,104.19/x
  3. Step 3: Cross multiply
    47,872.13x = 73,104.19 × 73,104.19
  4. Step 4: Simplify right side
    47,872.13x = 5,344,222,230.04
  5. Step 5: Solve for x
    x = 5,344,222,230.04/47,872.13
  6. Step 6: Final answer
    x = 111,635.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.