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Finding the Third Proportional to 116.94 and 149.09

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Solution

The third proportional to 116.94 and 149.09 is: 190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.94 : 149.09 = 149.09 : x
  2. Step 2: Convert to fraction form
    116.94/149.09 = 149.09/x
  3. Step 3: Cross multiply
    116.94x = 149.09 × 149.09
  4. Step 4: Simplify right side
    116.94x = 22,228.95
  5. Step 5: Solve for x
    x = 22,228.95/116.94
  6. Step 6: Final answer
    x = 190.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.