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Finding the Third Proportional to 72,612 and 159,198

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Solution

The third proportional to 72,612 and 159,198 is: 349,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,612 : 159,198 = 159,198 : x
  2. Step 2: Convert to fraction form
    72,612/159,198 = 159,198/x
  3. Step 3: Cross multiply
    72,612x = 159,198 × 159,198
  4. Step 4: Simplify right side
    72,612x = 25,344,003,204
  5. Step 5: Solve for x
    x = 25,344,003,204/72,612
  6. Step 6: Final answer
    x = 349,033.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.