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Finding the Third Proportional to 51,765 and 111,993

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Solution

The third proportional to 51,765 and 111,993 is: 242,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765 : 111,993 = 111,993 : x
  2. Step 2: Convert to fraction form
    51,765/111,993 = 111,993/x
  3. Step 3: Cross multiply
    51,765x = 111,993 × 111,993
  4. Step 4: Simplify right side
    51,765x = 12,542,432,049
  5. Step 5: Solve for x
    x = 12,542,432,049/51,765
  6. Step 6: Final answer
    x = 242,295.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.