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Finding the Third Proportional to 69.05 and 110.53

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Solution

The third proportional to 69.05 and 110.53 is: 176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 110.53 = 110.53 : x
  2. Step 2: Convert to fraction form
    69.05/110.53 = 110.53/x
  3. Step 3: Cross multiply
    69.05x = 110.53 × 110.53
  4. Step 4: Simplify right side
    69.05x = 12,217.16
  5. Step 5: Solve for x
    x = 12,217.16/69.05
  6. Step 6: Final answer
    x = 176.94

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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.