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Finding the Third Proportional to 27,198 and 57,664

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Solution

The third proportional to 27,198 and 57,664 is: 122,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198 : 57,664 = 57,664 : x
  2. Step 2: Convert to fraction form
    27,198/57,664 = 57,664/x
  3. Step 3: Cross multiply
    27,198x = 57,664 × 57,664
  4. Step 4: Simplify right side
    27,198x = 3,325,136,896
  5. Step 5: Solve for x
    x = 3,325,136,896/27,198
  6. Step 6: Final answer
    x = 122,256.67

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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.