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Finding the Third Proportional to 40,942 and 61,161

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Solution

The third proportional to 40,942 and 61,161 is: 91,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,942 : 61,161 = 61,161 : x
  2. Step 2: Convert to fraction form
    40,942/61,161 = 61,161/x
  3. Step 3: Cross multiply
    40,942x = 61,161 × 61,161
  4. Step 4: Simplify right side
    40,942x = 3,740,667,921
  5. Step 5: Solve for x
    x = 3,740,667,921/40,942
  6. Step 6: Final answer
    x = 91,365.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.