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Finding the Third Proportional to 69.75 and 102.09

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Solution

The third proportional to 69.75 and 102.09 is: 149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 102.09 = 102.09 : x
  2. Step 2: Convert to fraction form
    69.75/102.09 = 102.09/x
  3. Step 3: Cross multiply
    69.75x = 102.09 × 102.09
  4. Step 4: Simplify right side
    69.75x = 10,423.13
  5. Step 5: Solve for x
    x = 10,423.13/69.75
  6. Step 6: Final answer
    x = 149.44

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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.