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Finding the Third Proportional to 69.19 and 107.06

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Solution

The third proportional to 69.19 and 107.06 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 107.06 = 107.06 : x
  2. Step 2: Convert to fraction form
    69.19/107.06 = 107.06/x
  3. Step 3: Cross multiply
    69.19x = 107.06 × 107.06
  4. Step 4: Simplify right side
    69.19x = 11,462.38
  5. Step 5: Solve for x
    x = 11,462.38/69.19
  6. Step 6: Final answer
    x = 165.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.