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Finding the Third Proportional to 36,251 and 79,594

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Solution

The third proportional to 36,251 and 79,594 is: 174,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,251 : 79,594 = 79,594 : x
  2. Step 2: Convert to fraction form
    36,251/79,594 = 79,594/x
  3. Step 3: Cross multiply
    36,251x = 79,594 × 79,594
  4. Step 4: Simplify right side
    36,251x = 6,335,204,836
  5. Step 5: Solve for x
    x = 6,335,204,836/36,251
  6. Step 6: Final answer
    x = 174,759.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.