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Finding the Third Proportional to 82.31 and 110.44

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Solution

The third proportional to 82.31 and 110.44 is: 148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 110.44 = 110.44 : x
  2. Step 2: Convert to fraction form
    82.31/110.44 = 110.44/x
  3. Step 3: Cross multiply
    82.31x = 110.44 × 110.44
  4. Step 4: Simplify right side
    82.31x = 12,196.44
  5. Step 5: Solve for x
    x = 12,196.44/82.31
  6. Step 6: Final answer
    x = 148.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.