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Finding the Third Proportional to 92,162 and 146,995

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Solution

The third proportional to 92,162 and 146,995 is: 234,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,162 : 146,995 = 146,995 : x
  2. Step 2: Convert to fraction form
    92,162/146,995 = 146,995/x
  3. Step 3: Cross multiply
    92,162x = 146,995 × 146,995
  4. Step 4: Simplify right side
    92,162x = 21,607,530,025
  5. Step 5: Solve for x
    x = 21,607,530,025/92,162
  6. Step 6: Final answer
    x = 234,451.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.