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Finding the Third Proportional to 105.06 and 147.44

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Solution

The third proportional to 105.06 and 147.44 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 147.44 = 147.44 : x
  2. Step 2: Convert to fraction form
    105.06/147.44 = 147.44/x
  3. Step 3: Cross multiply
    105.06x = 147.44 × 147.44
  4. Step 4: Simplify right side
    105.06x = 21,737.82
  5. Step 5: Solve for x
    x = 21,737.82/105.06
  6. Step 6: Final answer
    x = 206.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.