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Finding the Third Proportional to 50,885 and 74,504.50

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Solution

The third proportional to 50,885 and 74,504.50 is: 109,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,885 : 74,504.50 = 74,504.50 : x
  2. Step 2: Convert to fraction form
    50,885/74,504.50 = 74,504.50/x
  3. Step 3: Cross multiply
    50,885x = 74,504.50 × 74,504.50
  4. Step 4: Simplify right side
    50,885x = 5,550,920,520.25
  5. Step 5: Solve for x
    x = 5,550,920,520.25/50,885
  6. Step 6: Final answer
    x = 109,087.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.