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Finding the Third Proportional to 132.28 and 188.06

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Solution

The third proportional to 132.28 and 188.06 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.28 : 188.06 = 188.06 : x
  2. Step 2: Convert to fraction form
    132.28/188.06 = 188.06/x
  3. Step 3: Cross multiply
    132.28x = 188.06 × 188.06
  4. Step 4: Simplify right side
    132.28x = 35,367.50
  5. Step 5: Solve for x
    x = 35,367.50/132.28
  6. Step 6: Final answer
    x = 267.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.