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Finding the Third Proportional to 31,942 and 70,162

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Solution

The third proportional to 31,942 and 70,162 is: 154,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,942 : 70,162 = 70,162 : x
  2. Step 2: Convert to fraction form
    31,942/70,162 = 70,162/x
  3. Step 3: Cross multiply
    31,942x = 70,162 × 70,162
  4. Step 4: Simplify right side
    31,942x = 4,922,706,244
  5. Step 5: Solve for x
    x = 4,922,706,244/31,942
  6. Step 6: Final answer
    x = 154,113.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.