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Finding the Third Proportional to 27,142 and 65,375

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Solution

The third proportional to 27,142 and 65,375 is: 157,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142 : 65,375 = 65,375 : x
  2. Step 2: Convert to fraction form
    27,142/65,375 = 65,375/x
  3. Step 3: Cross multiply
    27,142x = 65,375 × 65,375
  4. Step 4: Simplify right side
    27,142x = 4,273,890,625
  5. Step 5: Solve for x
    x = 4,273,890,625/27,142
  6. Step 6: Final answer
    x = 157,464.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.