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Finding the Third Proportional to 85,401.75 and 123,027

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Solution

The third proportional to 85,401.75 and 123,027 is: 177,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,401.75 : 123,027 = 123,027 : x
  2. Step 2: Convert to fraction form
    85,401.75/123,027 = 123,027/x
  3. Step 3: Cross multiply
    85,401.75x = 123,027 × 123,027
  4. Step 4: Simplify right side
    85,401.75x = 15,135,642,729
  5. Step 5: Solve for x
    x = 15,135,642,729/85,401.75
  6. Step 6: Final answer
    x = 177,228.72

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.