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Finding the Third Proportional to 52,183.50 and 113,679

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Solution

The third proportional to 52,183.50 and 113,679 is: 247,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,183.50 : 113,679 = 113,679 : x
  2. Step 2: Convert to fraction form
    52,183.50/113,679 = 113,679/x
  3. Step 3: Cross multiply
    52,183.50x = 113,679 × 113,679
  4. Step 4: Simplify right side
    52,183.50x = 12,922,915,041
  5. Step 5: Solve for x
    x = 12,922,915,041/52,183.50
  6. Step 6: Final answer
    x = 247,643.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.