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Finding the Third Proportional to 41,994 and 92,181

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Solution

The third proportional to 41,994 and 92,181 is: 202,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,994 : 92,181 = 92,181 : x
  2. Step 2: Convert to fraction form
    41,994/92,181 = 92,181/x
  3. Step 3: Cross multiply
    41,994x = 92,181 × 92,181
  4. Step 4: Simplify right side
    41,994x = 8,497,336,761
  5. Step 5: Solve for x
    x = 8,497,336,761/41,994
  6. Step 6: Final answer
    x = 202,346.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.