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Finding the Third Proportional to 110,986 and 173,917

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Solution

The third proportional to 110,986 and 173,917 is: 272,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,986 : 173,917 = 173,917 : x
  2. Step 2: Convert to fraction form
    110,986/173,917 = 173,917/x
  3. Step 3: Cross multiply
    110,986x = 173,917 × 173,917
  4. Step 4: Simplify right side
    110,986x = 30,247,122,889
  5. Step 5: Solve for x
    x = 30,247,122,889/110,986
  6. Step 6: Final answer
    x = 272,530.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.