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Finding the Third Proportional to 126.86 and 190.30

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Solution

The third proportional to 126.86 and 190.30 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 190.30 = 190.30 : x
  2. Step 2: Convert to fraction form
    126.86/190.30 = 190.30/x
  3. Step 3: Cross multiply
    126.86x = 190.30 × 190.30
  4. Step 4: Simplify right side
    126.86x = 36,214.39
  5. Step 5: Solve for x
    x = 36,214.39/126.86
  6. Step 6: Final answer
    x = 285.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.