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Finding the Third Proportional to 50,704.50 and 113,055

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Solution

The third proportional to 50,704.50 and 113,055 is: 252,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,704.50 : 113,055 = 113,055 : x
  2. Step 2: Convert to fraction form
    50,704.50/113,055 = 113,055/x
  3. Step 3: Cross multiply
    50,704.50x = 113,055 × 113,055
  4. Step 4: Simplify right side
    50,704.50x = 12,781,433,025
  5. Step 5: Solve for x
    x = 12,781,433,025/50,704.50
  6. Step 6: Final answer
    x = 252,076.90

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.