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Finding the Third Proportional to 67,267 and 146,198

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Solution

The third proportional to 67,267 and 146,198 is: 317,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,267 : 146,198 = 146,198 : x
  2. Step 2: Convert to fraction form
    67,267/146,198 = 146,198/x
  3. Step 3: Cross multiply
    67,267x = 146,198 × 146,198
  4. Step 4: Simplify right side
    67,267x = 21,373,855,204
  5. Step 5: Solve for x
    x = 21,373,855,204/67,267
  6. Step 6: Final answer
    x = 317,746.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.