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Finding the Third Proportional to 41,904 and 91,872

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Solution

The third proportional to 41,904 and 91,872 is: 201,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,904 : 91,872 = 91,872 : x
  2. Step 2: Convert to fraction form
    41,904/91,872 = 91,872/x
  3. Step 3: Cross multiply
    41,904x = 91,872 × 91,872
  4. Step 4: Simplify right side
    41,904x = 8,440,464,384
  5. Step 5: Solve for x
    x = 8,440,464,384/41,904
  6. Step 6: Final answer
    x = 201,423.84

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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.