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Finding the Third Proportional to 74,661 and 161,198

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Solution

The third proportional to 74,661 and 161,198 is: 348,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,661 : 161,198 = 161,198 : x
  2. Step 2: Convert to fraction form
    74,661/161,198 = 161,198/x
  3. Step 3: Cross multiply
    74,661x = 161,198 × 161,198
  4. Step 4: Simplify right side
    74,661x = 25,984,795,204
  5. Step 5: Solve for x
    x = 25,984,795,204/74,661
  6. Step 6: Final answer
    x = 348,037.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.