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Finding the Third Proportional to 43,766 and 96,042

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Solution

The third proportional to 43,766 and 96,042 is: 210,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,766 : 96,042 = 96,042 : x
  2. Step 2: Convert to fraction form
    43,766/96,042 = 96,042/x
  3. Step 3: Cross multiply
    43,766x = 96,042 × 96,042
  4. Step 4: Simplify right side
    43,766x = 9,224,065,764
  5. Step 5: Solve for x
    x = 9,224,065,764/43,766
  6. Step 6: Final answer
    x = 210,758.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.