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Finding the Third Proportional to 34,166.25 and 73,349.44

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Solution

The third proportional to 34,166.25 and 73,349.44 is: 157,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166.25 : 73,349.44 = 73,349.44 : x
  2. Step 2: Convert to fraction form
    34,166.25/73,349.44 = 73,349.44/x
  3. Step 3: Cross multiply
    34,166.25x = 73,349.44 × 73,349.44
  4. Step 4: Simplify right side
    34,166.25x = 5,380,139,981.57
  5. Step 5: Solve for x
    x = 5,380,139,981.57/34,166.25
  6. Step 6: Final answer
    x = 157,469.43

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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.