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Finding the Third Proportional to 101,077 and 207,992

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Solution

The third proportional to 101,077 and 207,992 is: 427,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,077 : 207,992 = 207,992 : x
  2. Step 2: Convert to fraction form
    101,077/207,992 = 207,992/x
  3. Step 3: Cross multiply
    101,077x = 207,992 × 207,992
  4. Step 4: Simplify right side
    101,077x = 43,260,672,064
  5. Step 5: Solve for x
    x = 43,260,672,064/101,077
  6. Step 6: Final answer
    x = 427,997.19

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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.