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Finding the Third Proportional to 43,729.50 and 80,888

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Solution

The third proportional to 43,729.50 and 80,888 is: 149,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729.50 : 80,888 = 80,888 : x
  2. Step 2: Convert to fraction form
    43,729.50/80,888 = 80,888/x
  3. Step 3: Cross multiply
    43,729.50x = 80,888 × 80,888
  4. Step 4: Simplify right side
    43,729.50x = 6,542,868,544
  5. Step 5: Solve for x
    x = 6,542,868,544/43,729.50
  6. Step 6: Final answer
    x = 149,621.39

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.