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Finding the Third Proportional to 56,161 and 122,163.75

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Solution

The third proportional to 56,161 and 122,163.75 is: 265,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,161 : 122,163.75 = 122,163.75 : x
  2. Step 2: Convert to fraction form
    56,161/122,163.75 = 122,163.75/x
  3. Step 3: Cross multiply
    56,161x = 122,163.75 × 122,163.75
  4. Step 4: Simplify right side
    56,161x = 14,923,981,814.06
  5. Step 5: Solve for x
    x = 14,923,981,814.06/56,161
  6. Step 6: Final answer
    x = 265,735.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.