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Finding the Third Proportional to 73,883 and 144,073

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Solution

The third proportional to 73,883 and 144,073 is: 280,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,883 : 144,073 = 144,073 : x
  2. Step 2: Convert to fraction form
    73,883/144,073 = 144,073/x
  3. Step 3: Cross multiply
    73,883x = 144,073 × 144,073
  4. Step 4: Simplify right side
    73,883x = 20,757,029,329
  5. Step 5: Solve for x
    x = 20,757,029,329/73,883
  6. Step 6: Final answer
    x = 280,944.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.