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Finding the Third Proportional to 27,138 and 57,192

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Solution

The third proportional to 27,138 and 57,192 is: 120,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138 : 57,192 = 57,192 : x
  2. Step 2: Convert to fraction form
    27,138/57,192 = 57,192/x
  3. Step 3: Cross multiply
    27,138x = 57,192 × 57,192
  4. Step 4: Simplify right side
    27,138x = 3,270,924,864
  5. Step 5: Solve for x
    x = 3,270,924,864/27,138
  6. Step 6: Final answer
    x = 120,529.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.