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Finding the Third Proportional to 68,364 and 150,192

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Solution

The third proportional to 68,364 and 150,192 is: 329,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,364 : 150,192 = 150,192 : x
  2. Step 2: Convert to fraction form
    68,364/150,192 = 150,192/x
  3. Step 3: Cross multiply
    68,364x = 150,192 × 150,192
  4. Step 4: Simplify right side
    68,364x = 22,557,636,864
  5. Step 5: Solve for x
    x = 22,557,636,864/68,364
  6. Step 6: Final answer
    x = 329,963.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.