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Finding the Third Proportional to 62,296 and 140,188

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Solution

The third proportional to 62,296 and 140,188 is: 315,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,296 : 140,188 = 140,188 : x
  2. Step 2: Convert to fraction form
    62,296/140,188 = 140,188/x
  3. Step 3: Cross multiply
    62,296x = 140,188 × 140,188
  4. Step 4: Simplify right side
    62,296x = 19,652,675,344
  5. Step 5: Solve for x
    x = 19,652,675,344/62,296
  6. Step 6: Final answer
    x = 315,472.51

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.