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Finding the Third Proportional to 79,904 and 173,896

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Solution

The third proportional to 79,904 and 173,896 is: 378,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,904 : 173,896 = 173,896 : x
  2. Step 2: Convert to fraction form
    79,904/173,896 = 173,896/x
  3. Step 3: Cross multiply
    79,904x = 173,896 × 173,896
  4. Step 4: Simplify right side
    79,904x = 30,239,818,816
  5. Step 5: Solve for x
    x = 30,239,818,816/79,904
  6. Step 6: Final answer
    x = 378,451.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.