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Finding the Third Proportional to 66 and 109.69

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Solution

The third proportional to 66 and 109.69 is: 182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 109.69 = 109.69 : x
  2. Step 2: Convert to fraction form
    66/109.69 = 109.69/x
  3. Step 3: Cross multiply
    66x = 109.69 × 109.69
  4. Step 4: Simplify right side
    66x = 12,031.35
  5. Step 5: Solve for x
    x = 12,031.35/66
  6. Step 6: Final answer
    x = 182.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.