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Finding the Third Proportional to 41,692 and 91,288

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Solution

The third proportional to 41,692 and 91,288 is: 199,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692 : 91,288 = 91,288 : x
  2. Step 2: Convert to fraction form
    41,692/91,288 = 91,288/x
  3. Step 3: Cross multiply
    41,692x = 91,288 × 91,288
  4. Step 4: Simplify right side
    41,692x = 8,333,498,944
  5. Step 5: Solve for x
    x = 8,333,498,944/41,692
  6. Step 6: Final answer
    x = 199,882.45

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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.