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Finding the Third Proportional to 50,949 and 111,729.38

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Solution

The third proportional to 50,949 and 111,729.38 is: 245,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,949 : 111,729.38 = 111,729.38 : x
  2. Step 2: Convert to fraction form
    50,949/111,729.38 = 111,729.38/x
  3. Step 3: Cross multiply
    50,949x = 111,729.38 × 111,729.38
  4. Step 4: Simplify right side
    50,949x = 12,483,453,237.89
  5. Step 5: Solve for x
    x = 12,483,453,237.89/50,949
  6. Step 6: Final answer
    x = 245,018.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.