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Finding the Third Proportional to 126 and 190.27

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Solution

The third proportional to 126 and 190.27 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 190.27 = 190.27 : x
  2. Step 2: Convert to fraction form
    126/190.27 = 190.27/x
  3. Step 3: Cross multiply
    126x = 190.27 × 190.27
  4. Step 4: Simplify right side
    126x = 36,201.01
  5. Step 5: Solve for x
    x = 36,201.01/126
  6. Step 6: Final answer
    x = 287.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.