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Finding the Third Proportional to 75,949 and 156,759

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Solution

The third proportional to 75,949 and 156,759 is: 323,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,949 : 156,759 = 156,759 : x
  2. Step 2: Convert to fraction form
    75,949/156,759 = 156,759/x
  3. Step 3: Cross multiply
    75,949x = 156,759 × 156,759
  4. Step 4: Simplify right side
    75,949x = 24,573,384,081
  5. Step 5: Solve for x
    x = 24,573,384,081/75,949
  6. Step 6: Final answer
    x = 323,551.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.