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Finding the Third Proportional to 36,205.69 and 75,721.78

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Solution

The third proportional to 36,205.69 and 75,721.78 is: 158,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.69 : 75,721.78 = 75,721.78 : x
  2. Step 2: Convert to fraction form
    36,205.69/75,721.78 = 75,721.78/x
  3. Step 3: Cross multiply
    36,205.69x = 75,721.78 × 75,721.78
  4. Step 4: Simplify right side
    36,205.69x = 5,733,788,155.67
  5. Step 5: Solve for x
    x = 5,733,788,155.67/36,205.69
  6. Step 6: Final answer
    x = 158,367.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.