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Finding the Third Proportional to 47,606 and 98,092

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Solution

The third proportional to 47,606 and 98,092 is: 202,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,606 : 98,092 = 98,092 : x
  2. Step 2: Convert to fraction form
    47,606/98,092 = 98,092/x
  3. Step 3: Cross multiply
    47,606x = 98,092 × 98,092
  4. Step 4: Simplify right side
    47,606x = 9,622,040,464
  5. Step 5: Solve for x
    x = 9,622,040,464/47,606
  6. Step 6: Final answer
    x = 202,118.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.