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Finding the Third Proportional to 132 and 182.63

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Solution

The third proportional to 132 and 182.63 is: 252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 182.63 = 182.63 : x
  2. Step 2: Convert to fraction form
    132/182.63 = 182.63/x
  3. Step 3: Cross multiply
    132x = 182.63 × 182.63
  4. Step 4: Simplify right side
    132x = 33,351.89
  5. Step 5: Solve for x
    x = 33,351.89/132
  6. Step 6: Final answer
    x = 252.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.