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Finding the Third Proportional to 27,072 and 60,392

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Solution

The third proportional to 27,072 and 60,392 is: 134,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 60,392 = 60,392 : x
  2. Step 2: Convert to fraction form
    27,072/60,392 = 60,392/x
  3. Step 3: Cross multiply
    27,072x = 60,392 × 60,392
  4. Step 4: Simplify right side
    27,072x = 3,647,193,664
  5. Step 5: Solve for x
    x = 3,647,193,664/27,072
  6. Step 6: Final answer
    x = 134,721.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.