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Finding the Third Proportional to 108.21 and 158.52

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Solution

The third proportional to 108.21 and 158.52 is: 232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 158.52 = 158.52 : x
  2. Step 2: Convert to fraction form
    108.21/158.52 = 158.52/x
  3. Step 3: Cross multiply
    108.21x = 158.52 × 158.52
  4. Step 4: Simplify right side
    108.21x = 25,128.44
  5. Step 5: Solve for x
    x = 25,128.44/108.21
  6. Step 6: Final answer
    x = 232.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.