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Finding the Third Proportional to 40,162 and 84,848

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Solution

The third proportional to 40,162 and 84,848 is: 179,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,162 : 84,848 = 84,848 : x
  2. Step 2: Convert to fraction form
    40,162/84,848 = 84,848/x
  3. Step 3: Cross multiply
    40,162x = 84,848 × 84,848
  4. Step 4: Simplify right side
    40,162x = 7,199,183,104
  5. Step 5: Solve for x
    x = 7,199,183,104/40,162
  6. Step 6: Final answer
    x = 179,253.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.