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Finding the Third Proportional to 40,942 and 88,162

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Solution

The third proportional to 40,942 and 88,162 is: 189,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,942 : 88,162 = 88,162 : x
  2. Step 2: Convert to fraction form
    40,942/88,162 = 88,162/x
  3. Step 3: Cross multiply
    40,942x = 88,162 × 88,162
  4. Step 4: Simplify right side
    40,942x = 7,772,538,244
  5. Step 5: Solve for x
    x = 7,772,538,244/40,942
  6. Step 6: Final answer
    x = 189,842.66

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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.