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Finding the Third Proportional to 67,006 and 104,198

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Solution

The third proportional to 67,006 and 104,198 is: 162,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,006 : 104,198 = 104,198 : x
  2. Step 2: Convert to fraction form
    67,006/104,198 = 104,198/x
  3. Step 3: Cross multiply
    67,006x = 104,198 × 104,198
  4. Step 4: Simplify right side
    67,006x = 10,857,223,204
  5. Step 5: Solve for x
    x = 10,857,223,204/67,006
  6. Step 6: Final answer
    x = 162,033.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.