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Finding the Third Proportional to 68,794 and 150,546

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Solution

The third proportional to 68,794 and 150,546 is: 329,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,794 : 150,546 = 150,546 : x
  2. Step 2: Convert to fraction form
    68,794/150,546 = 150,546/x
  3. Step 3: Cross multiply
    68,794x = 150,546 × 150,546
  4. Step 4: Simplify right side
    68,794x = 22,664,098,116
  5. Step 5: Solve for x
    x = 22,664,098,116/68,794
  6. Step 6: Final answer
    x = 329,448.76

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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.