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Finding the Third Proportional to 116,124 and 173,734

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Solution

The third proportional to 116,124 and 173,734 is: 259,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,124 : 173,734 = 173,734 : x
  2. Step 2: Convert to fraction form
    116,124/173,734 = 173,734/x
  3. Step 3: Cross multiply
    116,124x = 173,734 × 173,734
  4. Step 4: Simplify right side
    116,124x = 30,183,502,756
  5. Step 5: Solve for x
    x = 30,183,502,756/116,124
  6. Step 6: Final answer
    x = 259,924.76

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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.