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Finding the Third Proportional to 110.06 and 147.47

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Solution

The third proportional to 110.06 and 147.47 is: 197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 147.47 = 147.47 : x
  2. Step 2: Convert to fraction form
    110.06/147.47 = 147.47/x
  3. Step 3: Cross multiply
    110.06x = 147.47 × 147.47
  4. Step 4: Simplify right side
    110.06x = 21,747.03
  5. Step 5: Solve for x
    x = 21,747.03/110.06
  6. Step 6: Final answer
    x = 197.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.