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Finding the Third Proportional to 69.44 and 102.13

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Solution

The third proportional to 69.44 and 102.13 is: 150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.44 : 102.13 = 102.13 : x
  2. Step 2: Convert to fraction form
    69.44/102.13 = 102.13/x
  3. Step 3: Cross multiply
    69.44x = 102.13 × 102.13
  4. Step 4: Simplify right side
    69.44x = 10,429.52
  5. Step 5: Solve for x
    x = 10,429.52/69.44
  6. Step 6: Final answer
    x = 150.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.