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Finding the Third Proportional to 54,441.75 and 81,662.63

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Solution

The third proportional to 54,441.75 and 81,662.63 is: 122,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,441.75 : 81,662.63 = 81,662.63 : x
  2. Step 2: Convert to fraction form
    54,441.75/81,662.63 = 81,662.63/x
  3. Step 3: Cross multiply
    54,441.75x = 81,662.63 × 81,662.63
  4. Step 4: Simplify right side
    54,441.75x = 6,668,784,321.89
  5. Step 5: Solve for x
    x = 6,668,784,321.89/54,441.75
  6. Step 6: Final answer
    x = 122,493.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.