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Finding the Third Proportional to 43,919 and 96,167

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Solution

The third proportional to 43,919 and 96,167 is: 210,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,919 : 96,167 = 96,167 : x
  2. Step 2: Convert to fraction form
    43,919/96,167 = 96,167/x
  3. Step 3: Cross multiply
    43,919x = 96,167 × 96,167
  4. Step 4: Simplify right side
    43,919x = 9,248,091,889
  5. Step 5: Solve for x
    x = 9,248,091,889/43,919
  6. Step 6: Final answer
    x = 210,571.55

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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.