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Finding the Third Proportional to 42,006 and 91,393

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Solution

The third proportional to 42,006 and 91,393 is: 198,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006 : 91,393 = 91,393 : x
  2. Step 2: Convert to fraction form
    42,006/91,393 = 91,393/x
  3. Step 3: Cross multiply
    42,006x = 91,393 × 91,393
  4. Step 4: Simplify right side
    42,006x = 8,352,680,449
  5. Step 5: Solve for x
    x = 8,352,680,449/42,006
  6. Step 6: Final answer
    x = 198,844.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.