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Finding the Third Proportional to 95,727.75 and 158,991.75

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Solution

The third proportional to 95,727.75 and 158,991.75 is: 264,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,727.75 : 158,991.75 = 158,991.75 : x
  2. Step 2: Convert to fraction form
    95,727.75/158,991.75 = 158,991.75/x
  3. Step 3: Cross multiply
    95,727.75x = 158,991.75 × 158,991.75
  4. Step 4: Simplify right side
    95,727.75x = 25,278,376,568.06
  5. Step 5: Solve for x
    x = 25,278,376,568.06/95,727.75
  6. Step 6: Final answer
    x = 264,065.30

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.