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Finding the Third Proportional to 69.19 and 110.84

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Solution

The third proportional to 69.19 and 110.84 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 110.84 = 110.84 : x
  2. Step 2: Convert to fraction form
    69.19/110.84 = 110.84/x
  3. Step 3: Cross multiply
    69.19x = 110.84 × 110.84
  4. Step 4: Simplify right side
    69.19x = 12,286.34
  5. Step 5: Solve for x
    x = 12,286.34/69.19
  6. Step 6: Final answer
    x = 177.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.