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Finding the Third Proportional to 106.22 and 158.34

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Solution

The third proportional to 106.22 and 158.34 is: 236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 158.34 = 158.34 : x
  2. Step 2: Convert to fraction form
    106.22/158.34 = 158.34/x
  3. Step 3: Cross multiply
    106.22x = 158.34 × 158.34
  4. Step 4: Simplify right side
    106.22x = 25,072.74
  5. Step 5: Solve for x
    x = 25,072.74/106.22
  6. Step 6: Final answer
    x = 236.05

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Why These Related Problems?

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