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Finding the Third Proportional to 50,180 and 73,622

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Solution

The third proportional to 50,180 and 73,622 is: 108,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,180 : 73,622 = 73,622 : x
  2. Step 2: Convert to fraction form
    50,180/73,622 = 73,622/x
  3. Step 3: Cross multiply
    50,180x = 73,622 × 73,622
  4. Step 4: Simplify right side
    50,180x = 5,420,198,884
  5. Step 5: Solve for x
    x = 5,420,198,884/50,180
  6. Step 6: Final answer
    x = 108,015.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.