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Finding the Third Proportional to 95,114.75 and 142,375

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Solution

The third proportional to 95,114.75 and 142,375 is: 213,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,114.75 : 142,375 = 142,375 : x
  2. Step 2: Convert to fraction form
    95,114.75/142,375 = 142,375/x
  3. Step 3: Cross multiply
    95,114.75x = 142,375 × 142,375
  4. Step 4: Simplify right side
    95,114.75x = 20,270,640,625
  5. Step 5: Solve for x
    x = 20,270,640,625/95,114.75
  6. Step 6: Final answer
    x = 213,117.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.