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Finding the Third Proportional to 50,974 and 111,764

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Solution

The third proportional to 50,974 and 111,764 is: 245,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974 : 111,764 = 111,764 : x
  2. Step 2: Convert to fraction form
    50,974/111,764 = 111,764/x
  3. Step 3: Cross multiply
    50,974x = 111,764 × 111,764
  4. Step 4: Simplify right side
    50,974x = 12,491,191,696
  5. Step 5: Solve for x
    x = 12,491,191,696/50,974
  6. Step 6: Final answer
    x = 245,050.25

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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.