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Finding the Third Proportional to 67,264 and 146,192

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Solution

The third proportional to 67,264 and 146,192 is: 317,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,264 : 146,192 = 146,192 : x
  2. Step 2: Convert to fraction form
    67,264/146,192 = 146,192/x
  3. Step 3: Cross multiply
    67,264x = 146,192 × 146,192
  4. Step 4: Simplify right side
    67,264x = 21,372,100,864
  5. Step 5: Solve for x
    x = 21,372,100,864/67,264
  6. Step 6: Final answer
    x = 317,734.61

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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.