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Finding the Third Proportional to 57,101.20 and 81,166.75

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Solution

The third proportional to 57,101.20 and 81,166.75 is: 115,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.20 : 81,166.75 = 81,166.75 : x
  2. Step 2: Convert to fraction form
    57,101.20/81,166.75 = 81,166.75/x
  3. Step 3: Cross multiply
    57,101.20x = 81,166.75 × 81,166.75
  4. Step 4: Simplify right side
    57,101.20x = 6,588,040,671.45
  5. Step 5: Solve for x
    x = 6,588,040,671.45/57,101.20
  6. Step 6: Final answer
    x = 115,374.81

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.