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Finding the Third Proportional to 50,019.56 and 76,299.75

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Solution

The third proportional to 50,019.56 and 76,299.75 is: 116,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,019.56 : 76,299.75 = 76,299.75 : x
  2. Step 2: Convert to fraction form
    50,019.56/76,299.75 = 76,299.75/x
  3. Step 3: Cross multiply
    50,019.56x = 76,299.75 × 76,299.75
  4. Step 4: Simplify right side
    50,019.56x = 5,821,651,850.06
  5. Step 5: Solve for x
    x = 5,821,651,850.06/50,019.56
  6. Step 6: Final answer
    x = 116,387.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.