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Finding the Third Proportional to 41,592.75 and 89,412.75

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Solution

The third proportional to 41,592.75 and 89,412.75 is: 192,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,592.75 : 89,412.75 = 89,412.75 : x
  2. Step 2: Convert to fraction form
    41,592.75/89,412.75 = 89,412.75/x
  3. Step 3: Cross multiply
    41,592.75x = 89,412.75 × 89,412.75
  4. Step 4: Simplify right side
    41,592.75x = 7,994,639,862.56
  5. Step 5: Solve for x
    x = 7,994,639,862.56/41,592.75
  6. Step 6: Final answer
    x = 192,212.34

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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.