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Finding the Third Proportional to 73,804 and 114,593

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Solution

The third proportional to 73,804 and 114,593 is: 177,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,804 : 114,593 = 114,593 : x
  2. Step 2: Convert to fraction form
    73,804/114,593 = 114,593/x
  3. Step 3: Cross multiply
    73,804x = 114,593 × 114,593
  4. Step 4: Simplify right side
    73,804x = 13,131,555,649
  5. Step 5: Solve for x
    x = 13,131,555,649/73,804
  6. Step 6: Final answer
    x = 177,924.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.