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Finding the Third Proportional to 43 and 106.38

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Solution

The third proportional to 43 and 106.38 is: 263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43 : 106.38 = 106.38 : x
  2. Step 2: Convert to fraction form
    43/106.38 = 106.38/x
  3. Step 3: Cross multiply
    43x = 106.38 × 106.38
  4. Step 4: Simplify right side
    43x = 11,315.64
  5. Step 5: Solve for x
    x = 11,315.64/43
  6. Step 6: Final answer
    x = 263.15

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.