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Finding the Third Proportional to 49.69 and 107.06

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Solution

The third proportional to 49.69 and 107.06 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.69 : 107.06 = 107.06 : x
  2. Step 2: Convert to fraction form
    49.69/107.06 = 107.06/x
  3. Step 3: Cross multiply
    49.69x = 107.06 × 107.06
  4. Step 4: Simplify right side
    49.69x = 11,462.38
  5. Step 5: Solve for x
    x = 11,462.38/49.69
  6. Step 6: Final answer
    x = 230.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.