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Finding the Third Proportional to 50,991 and 73,442.25

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Solution

The third proportional to 50,991 and 73,442.25 is: 105,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,991 : 73,442.25 = 73,442.25 : x
  2. Step 2: Convert to fraction form
    50,991/73,442.25 = 73,442.25/x
  3. Step 3: Cross multiply
    50,991x = 73,442.25 × 73,442.25
  4. Step 4: Simplify right side
    50,991x = 5,393,764,085.06
  5. Step 5: Solve for x
    x = 5,393,764,085.06/50,991
  6. Step 6: Final answer
    x = 105,778.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.