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Finding the Third Proportional to 54,198 and 80,889

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Solution

The third proportional to 54,198 and 80,889 is: 120,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,198 : 80,889 = 80,889 : x
  2. Step 2: Convert to fraction form
    54,198/80,889 = 80,889/x
  3. Step 3: Cross multiply
    54,198x = 80,889 × 80,889
  4. Step 4: Simplify right side
    54,198x = 6,543,030,321
  5. Step 5: Solve for x
    x = 6,543,030,321/54,198
  6. Step 6: Final answer
    x = 120,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.