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Finding the Third Proportional to 27,072 and 57,108

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Solution

The third proportional to 27,072 and 57,108 is: 120,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 57,108 = 57,108 : x
  2. Step 2: Convert to fraction form
    27,072/57,108 = 57,108/x
  3. Step 3: Cross multiply
    27,072x = 57,108 × 57,108
  4. Step 4: Simplify right side
    27,072x = 3,261,323,664
  5. Step 5: Solve for x
    x = 3,261,323,664/27,072
  6. Step 6: Final answer
    x = 120,468.52

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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.