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Finding the Third Proportional to 25,142.91 and 55,086.75

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Solution

The third proportional to 25,142.91 and 55,086.75 is: 120,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.91 : 55,086.75 = 55,086.75 : x
  2. Step 2: Convert to fraction form
    25,142.91/55,086.75 = 55,086.75/x
  3. Step 3: Cross multiply
    25,142.91x = 55,086.75 × 55,086.75
  4. Step 4: Simplify right side
    25,142.91x = 3,034,550,025.56
  5. Step 5: Solve for x
    x = 3,034,550,025.56/25,142.91
  6. Step 6: Final answer
    x = 120,692.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.