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Finding the Third Proportional to 79,896 and 173,739

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Solution

The third proportional to 79,896 and 173,739 is: 377,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,896 : 173,739 = 173,739 : x
  2. Step 2: Convert to fraction form
    79,896/173,739 = 173,739/x
  3. Step 3: Cross multiply
    79,896x = 173,739 × 173,739
  4. Step 4: Simplify right side
    79,896x = 30,185,240,121
  5. Step 5: Solve for x
    x = 30,185,240,121/79,896
  6. Step 6: Final answer
    x = 377,806.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.