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Finding the Third Proportional to 75,694.50 and 156,249

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Solution

The third proportional to 75,694.50 and 156,249 is: 322,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,694.50 : 156,249 = 156,249 : x
  2. Step 2: Convert to fraction form
    75,694.50/156,249 = 156,249/x
  3. Step 3: Cross multiply
    75,694.50x = 156,249 × 156,249
  4. Step 4: Simplify right side
    75,694.50x = 24,413,750,001
  5. Step 5: Solve for x
    x = 24,413,750,001/75,694.50
  6. Step 6: Final answer
    x = 322,530.04

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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.