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Finding the Third Proportional to 132.44 and 172.22

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Solution

The third proportional to 132.44 and 172.22 is: 223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.44 : 172.22 = 172.22 : x
  2. Step 2: Convert to fraction form
    132.44/172.22 = 172.22/x
  3. Step 3: Cross multiply
    132.44x = 172.22 × 172.22
  4. Step 4: Simplify right side
    132.44x = 29,659.30
  5. Step 5: Solve for x
    x = 29,659.30/132.44
  6. Step 6: Final answer
    x = 223.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.