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Finding the Third Proportional to 139,120.50 and 196,530

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Solution

The third proportional to 139,120.50 and 196,530 is: 277,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,120.50 : 196,530 = 196,530 : x
  2. Step 2: Convert to fraction form
    139,120.50/196,530 = 196,530/x
  3. Step 3: Cross multiply
    139,120.50x = 196,530 × 196,530
  4. Step 4: Simplify right side
    139,120.50x = 38,624,040,900
  5. Step 5: Solve for x
    x = 38,624,040,900/139,120.50
  6. Step 6: Final answer
    x = 277,630.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.