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Finding the Third Proportional to 85,962 and 131,412.75

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Solution

The third proportional to 85,962 and 131,412.75 is: 200,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,962 : 131,412.75 = 131,412.75 : x
  2. Step 2: Convert to fraction form
    85,962/131,412.75 = 131,412.75/x
  3. Step 3: Cross multiply
    85,962x = 131,412.75 × 131,412.75
  4. Step 4: Simplify right side
    85,962x = 17,269,310,862.56
  5. Step 5: Solve for x
    x = 17,269,310,862.56/85,962
  6. Step 6: Final answer
    x = 200,894.71

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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.