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Finding the Third Proportional to 34,171 and 73,451

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Solution

The third proportional to 34,171 and 73,451 is: 157,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171 : 73,451 = 73,451 : x
  2. Step 2: Convert to fraction form
    34,171/73,451 = 73,451/x
  3. Step 3: Cross multiply
    34,171x = 73,451 × 73,451
  4. Step 4: Simplify right side
    34,171x = 5,395,049,401
  5. Step 5: Solve for x
    x = 5,395,049,401/34,171
  6. Step 6: Final answer
    x = 157,883.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.