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Finding the Third Proportional to 77.50 and 104

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Solution

The third proportional to 77.50 and 104 is: 139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.50 : 104 = 104 : x
  2. Step 2: Convert to fraction form
    77.50/104 = 104/x
  3. Step 3: Cross multiply
    77.50x = 104 × 104
  4. Step 4: Simplify right side
    77.50x = 10,816
  5. Step 5: Solve for x
    x = 10,816/77.50
  6. Step 6: Final answer
    x = 139.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.