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Finding the Third Proportional to 41,373.75 and 89,309.25

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Solution

The third proportional to 41,373.75 and 89,309.25 is: 192,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,373.75 : 89,309.25 = 89,309.25 : x
  2. Step 2: Convert to fraction form
    41,373.75/89,309.25 = 89,309.25/x
  3. Step 3: Cross multiply
    41,373.75x = 89,309.25 × 89,309.25
  4. Step 4: Simplify right side
    41,373.75x = 7,976,142,135.56
  5. Step 5: Solve for x
    x = 7,976,142,135.56/41,373.75
  6. Step 6: Final answer
    x = 192,782.67

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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.