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Finding the Third Proportional to 41,212 and 88,994

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Solution

The third proportional to 41,212 and 88,994 is: 192,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,212 : 88,994 = 88,994 : x
  2. Step 2: Convert to fraction form
    41,212/88,994 = 88,994/x
  3. Step 3: Cross multiply
    41,212x = 88,994 × 88,994
  4. Step 4: Simplify right side
    41,212x = 7,919,932,036
  5. Step 5: Solve for x
    x = 7,919,932,036/41,212
  6. Step 6: Final answer
    x = 192,175.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.