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Finding the Third Proportional to 27,593 and 60,199

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Solution

The third proportional to 27,593 and 60,199 is: 131,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593 : 60,199 = 60,199 : x
  2. Step 2: Convert to fraction form
    27,593/60,199 = 60,199/x
  3. Step 3: Cross multiply
    27,593x = 60,199 × 60,199
  4. Step 4: Simplify right side
    27,593x = 3,623,919,601
  5. Step 5: Solve for x
    x = 3,623,919,601/27,593
  6. Step 6: Final answer
    x = 131,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.