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Finding the Third Proportional to 54,042 and 80,846

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Solution

The third proportional to 54,042 and 80,846 is: 120,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,042 : 80,846 = 80,846 : x
  2. Step 2: Convert to fraction form
    54,042/80,846 = 80,846/x
  3. Step 3: Cross multiply
    54,042x = 80,846 × 80,846
  4. Step 4: Simplify right side
    54,042x = 6,536,075,716
  5. Step 5: Solve for x
    x = 6,536,075,716/54,042
  6. Step 6: Final answer
    x = 120,944.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.