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Finding the Third Proportional to 126.38 and 151.94

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Solution

The third proportional to 126.38 and 151.94 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 151.94 = 151.94 : x
  2. Step 2: Convert to fraction form
    126.38/151.94 = 151.94/x
  3. Step 3: Cross multiply
    126.38x = 151.94 × 151.94
  4. Step 4: Simplify right side
    126.38x = 23,085.00
  5. Step 5: Solve for x
    x = 23,085.00/126.38
  6. Step 6: Final answer
    x = 182.67

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.