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Finding the Third Proportional to 43,884 and 85,578.75

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Solution

The third proportional to 43,884 and 85,578.75 is: 166,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,884 : 85,578.75 = 85,578.75 : x
  2. Step 2: Convert to fraction form
    43,884/85,578.75 = 85,578.75/x
  3. Step 3: Cross multiply
    43,884x = 85,578.75 × 85,578.75
  4. Step 4: Simplify right side
    43,884x = 7,323,722,451.56
  5. Step 5: Solve for x
    x = 7,323,722,451.56/43,884
  6. Step 6: Final answer
    x = 166,888.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.