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Finding the Third Proportional to 36,162.75 and 77,874.75

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Solution

The third proportional to 36,162.75 and 77,874.75 is: 167,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162.75 : 77,874.75 = 77,874.75 : x
  2. Step 2: Convert to fraction form
    36,162.75/77,874.75 = 77,874.75/x
  3. Step 3: Cross multiply
    36,162.75x = 77,874.75 × 77,874.75
  4. Step 4: Simplify right side
    36,162.75x = 6,064,476,687.56
  5. Step 5: Solve for x
    x = 6,064,476,687.56/36,162.75
  6. Step 6: Final answer
    x = 167,699.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.