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Finding the Third Proportional to 52,041 and 112,767

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Solution

The third proportional to 52,041 and 112,767 is: 244,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041 : 112,767 = 112,767 : x
  2. Step 2: Convert to fraction form
    52,041/112,767 = 112,767/x
  3. Step 3: Cross multiply
    52,041x = 112,767 × 112,767
  4. Step 4: Simplify right side
    52,041x = 12,716,396,289
  5. Step 5: Solve for x
    x = 12,716,396,289/52,041
  6. Step 6: Final answer
    x = 244,353.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.