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Finding the Third Proportional to 95,372 and 144,286

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Solution

The third proportional to 95,372 and 144,286 is: 218,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,372 : 144,286 = 144,286 : x
  2. Step 2: Convert to fraction form
    95,372/144,286 = 144,286/x
  3. Step 3: Cross multiply
    95,372x = 144,286 × 144,286
  4. Step 4: Simplify right side
    95,372x = 20,818,449,796
  5. Step 5: Solve for x
    x = 20,818,449,796/95,372
  6. Step 6: Final answer
    x = 218,286.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.