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Finding the Third Proportional to 149.06 and 171.94

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Solution

The third proportional to 149.06 and 171.94 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 171.94 = 171.94 : x
  2. Step 2: Convert to fraction form
    149.06/171.94 = 171.94/x
  3. Step 3: Cross multiply
    149.06x = 171.94 × 171.94
  4. Step 4: Simplify right side
    149.06x = 29,562.50
  5. Step 5: Solve for x
    x = 29,562.50/149.06
  6. Step 6: Final answer
    x = 198.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.