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Finding the Third Proportional to 36,262 and 76,874

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Solution

The third proportional to 36,262 and 76,874 is: 162,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262 : 76,874 = 76,874 : x
  2. Step 2: Convert to fraction form
    36,262/76,874 = 76,874/x
  3. Step 3: Cross multiply
    36,262x = 76,874 × 76,874
  4. Step 4: Simplify right side
    36,262x = 5,909,611,876
  5. Step 5: Solve for x
    x = 5,909,611,876/36,262
  6. Step 6: Final answer
    x = 162,969.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.