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Finding the Third Proportional to 95,074 and 142,314

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Solution

The third proportional to 95,074 and 142,314 is: 213,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,074 : 142,314 = 142,314 : x
  2. Step 2: Convert to fraction form
    95,074/142,314 = 142,314/x
  3. Step 3: Cross multiply
    95,074x = 142,314 × 142,314
  4. Step 4: Simplify right side
    95,074x = 20,253,274,596
  5. Step 5: Solve for x
    x = 20,253,274,596/95,074
  6. Step 6: Final answer
    x = 213,026.43

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