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Finding the Third Proportional to 73,662 and 161,661

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Solution

The third proportional to 73,662 and 161,661 is: 354,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,662 : 161,661 = 161,661 : x
  2. Step 2: Convert to fraction form
    73,662/161,661 = 161,661/x
  3. Step 3: Cross multiply
    73,662x = 161,661 × 161,661
  4. Step 4: Simplify right side
    73,662x = 26,134,278,921
  5. Step 5: Solve for x
    x = 26,134,278,921/73,662
  6. Step 6: Final answer
    x = 354,786.44

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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.