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Finding the Third Proportional to 117,602 and 254,067

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Solution

The third proportional to 117,602 and 254,067 is: 548,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,602 : 254,067 = 254,067 : x
  2. Step 2: Convert to fraction form
    117,602/254,067 = 254,067/x
  3. Step 3: Cross multiply
    117,602x = 254,067 × 254,067
  4. Step 4: Simplify right side
    117,602x = 64,550,040,489
  5. Step 5: Solve for x
    x = 64,550,040,489/117,602
  6. Step 6: Final answer
    x = 548,885.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.