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Finding the Third Proportional to 126 and 188.16

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Solution

The third proportional to 126 and 188.16 is: 280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 188.16 = 188.16 : x
  2. Step 2: Convert to fraction form
    126/188.16 = 188.16/x
  3. Step 3: Cross multiply
    126x = 188.16 × 188.16
  4. Step 4: Simplify right side
    126x = 35,402.77
  5. Step 5: Solve for x
    x = 35,402.77/126
  6. Step 6: Final answer
    x = 280.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.