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Finding the Third Proportional to 85,944.75 and 131,142.75

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Solution

The third proportional to 85,944.75 and 131,142.75 is: 200,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,944.75 : 131,142.75 = 131,142.75 : x
  2. Step 2: Convert to fraction form
    85,944.75/131,142.75 = 131,142.75/x
  3. Step 3: Cross multiply
    85,944.75x = 131,142.75 × 131,142.75
  4. Step 4: Simplify right side
    85,944.75x = 17,198,420,877.56
  5. Step 5: Solve for x
    x = 17,198,420,877.56/85,944.75
  6. Step 6: Final answer
    x = 200,110.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.