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Finding the Third Proportional to 27,165 and 60,558

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Solution

The third proportional to 27,165 and 60,558 is: 134,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165 : 60,558 = 60,558 : x
  2. Step 2: Convert to fraction form
    27,165/60,558 = 60,558/x
  3. Step 3: Cross multiply
    27,165x = 60,558 × 60,558
  4. Step 4: Simplify right side
    27,165x = 3,667,271,364
  5. Step 5: Solve for x
    x = 3,667,271,364/27,165
  6. Step 6: Final answer
    x = 134,999.87

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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.