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Finding the Third Proportional to 84,872.25 and 179,039.25

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Solution

The third proportional to 84,872.25 and 179,039.25 is: 377,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872.25 : 179,039.25 = 179,039.25 : x
  2. Step 2: Convert to fraction form
    84,872.25/179,039.25 = 179,039.25/x
  3. Step 3: Cross multiply
    84,872.25x = 179,039.25 × 179,039.25
  4. Step 4: Simplify right side
    84,872.25x = 32,055,053,040.56
  5. Step 5: Solve for x
    x = 32,055,053,040.56/84,872.25
  6. Step 6: Final answer
    x = 377,685.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.