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Finding the Third Proportional to 41,753.25 and 91,174.50

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Solution

The third proportional to 41,753.25 and 91,174.50 is: 199,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,753.25 : 91,174.50 = 91,174.50 : x
  2. Step 2: Convert to fraction form
    41,753.25/91,174.50 = 91,174.50/x
  3. Step 3: Cross multiply
    41,753.25x = 91,174.50 × 91,174.50
  4. Step 4: Simplify right side
    41,753.25x = 8,312,789,450.25
  5. Step 5: Solve for x
    x = 8,312,789,450.25/41,753.25
  6. Step 6: Final answer
    x = 199,093.23

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