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Finding the Third Proportional to 41,191 and 89,975

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Solution

The third proportional to 41,191 and 89,975 is: 196,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 89,975 = 89,975 : x
  2. Step 2: Convert to fraction form
    41,191/89,975 = 89,975/x
  3. Step 3: Cross multiply
    41,191x = 89,975 × 89,975
  4. Step 4: Simplify right side
    41,191x = 8,095,500,625
  5. Step 5: Solve for x
    x = 8,095,500,625/41,191
  6. Step 6: Final answer
    x = 196,535.67

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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.