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Finding the Third Proportional to 27,378 and 60,102

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Solution

The third proportional to 27,378 and 60,102 is: 131,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 60,102 = 60,102 : x
  2. Step 2: Convert to fraction form
    27,378/60,102 = 60,102/x
  3. Step 3: Cross multiply
    27,378x = 60,102 × 60,102
  4. Step 4: Simplify right side
    27,378x = 3,612,250,404
  5. Step 5: Solve for x
    x = 3,612,250,404/27,378
  6. Step 6: Final answer
    x = 131,939.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.