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Finding the Third Proportional to 27,194 and 57,656

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Solution

The third proportional to 27,194 and 57,656 is: 122,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 57,656 = 57,656 : x
  2. Step 2: Convert to fraction form
    27,194/57,656 = 57,656/x
  3. Step 3: Cross multiply
    27,194x = 57,656 × 57,656
  4. Step 4: Simplify right side
    27,194x = 3,324,214,336
  5. Step 5: Solve for x
    x = 3,324,214,336/27,194
  6. Step 6: Final answer
    x = 122,240.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.