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Finding the Third Proportional to 27,242 and 57,238

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Solution

The third proportional to 27,242 and 57,238 is: 120,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 57,238 = 57,238 : x
  2. Step 2: Convert to fraction form
    27,242/57,238 = 57,238/x
  3. Step 3: Cross multiply
    27,242x = 57,238 × 57,238
  4. Step 4: Simplify right side
    27,242x = 3,276,188,644
  5. Step 5: Solve for x
    x = 3,276,188,644/27,242
  6. Step 6: Final answer
    x = 120,262.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.