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Finding the Third Proportional to 53.26 and 110.66

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Solution

The third proportional to 53.26 and 110.66 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.26 : 110.66 = 110.66 : x
  2. Step 2: Convert to fraction form
    53.26/110.66 = 110.66/x
  3. Step 3: Cross multiply
    53.26x = 110.66 × 110.66
  4. Step 4: Simplify right side
    53.26x = 12,245.22
  5. Step 5: Solve for x
    x = 12,245.22/53.26
  6. Step 6: Final answer
    x = 229.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.