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Finding the Third Proportional to 34,014 and 73,493

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Solution

The third proportional to 34,014 and 73,493 is: 158,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014 : 73,493 = 73,493 : x
  2. Step 2: Convert to fraction form
    34,014/73,493 = 73,493/x
  3. Step 3: Cross multiply
    34,014x = 73,493 × 73,493
  4. Step 4: Simplify right side
    34,014x = 5,401,221,049
  5. Step 5: Solve for x
    x = 5,401,221,049/34,014
  6. Step 6: Final answer
    x = 158,794.06

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