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Finding the Third Proportional to 91,755 and 140,375

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Solution

The third proportional to 91,755 and 140,375 is: 214,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,755 : 140,375 = 140,375 : x
  2. Step 2: Convert to fraction form
    91,755/140,375 = 140,375/x
  3. Step 3: Cross multiply
    91,755x = 140,375 × 140,375
  4. Step 4: Simplify right side
    91,755x = 19,705,140,625
  5. Step 5: Solve for x
    x = 19,705,140,625/91,755
  6. Step 6: Final answer
    x = 214,758.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.