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Finding the Third Proportional to 69.31 and 100.44

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Solution

The third proportional to 69.31 and 100.44 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.31 : 100.44 = 100.44 : x
  2. Step 2: Convert to fraction form
    69.31/100.44 = 100.44/x
  3. Step 3: Cross multiply
    69.31x = 100.44 × 100.44
  4. Step 4: Simplify right side
    69.31x = 10,087.69
  5. Step 5: Solve for x
    x = 10,087.69/69.31
  6. Step 6: Final answer
    x = 145.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.