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Finding the Third Proportional to 73,851 and 161,067

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Solution

The third proportional to 73,851 and 161,067 is: 351,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,851 : 161,067 = 161,067 : x
  2. Step 2: Convert to fraction form
    73,851/161,067 = 161,067/x
  3. Step 3: Cross multiply
    73,851x = 161,067 × 161,067
  4. Step 4: Simplify right side
    73,851x = 25,942,578,489
  5. Step 5: Solve for x
    x = 25,942,578,489/73,851
  6. Step 6: Final answer
    x = 351,282.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.