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Finding the Third Proportional to 40,560 and 89,112

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Solution

The third proportional to 40,560 and 89,112 is: 195,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,560 : 89,112 = 89,112 : x
  2. Step 2: Convert to fraction form
    40,560/89,112 = 89,112/x
  3. Step 3: Cross multiply
    40,560x = 89,112 × 89,112
  4. Step 4: Simplify right side
    40,560x = 7,940,948,544
  5. Step 5: Solve for x
    x = 7,940,948,544/40,560
  6. Step 6: Final answer
    x = 195,782.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.