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Finding the Third Proportional to 116,162 and 173,787

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Solution

The third proportional to 116,162 and 173,787 is: 259,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,162 : 173,787 = 173,787 : x
  2. Step 2: Convert to fraction form
    116,162/173,787 = 173,787/x
  3. Step 3: Cross multiply
    116,162x = 173,787 × 173,787
  4. Step 4: Simplify right side
    116,162x = 30,201,921,369
  5. Step 5: Solve for x
    x = 30,201,921,369/116,162
  6. Step 6: Final answer
    x = 259,998.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.