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Finding the Third Proportional to 84,881.25 and 179,057.25

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Solution

The third proportional to 84,881.25 and 179,057.25 is: 377,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,881.25 : 179,057.25 = 179,057.25 : x
  2. Step 2: Convert to fraction form
    84,881.25/179,057.25 = 179,057.25/x
  3. Step 3: Cross multiply
    84,881.25x = 179,057.25 × 179,057.25
  4. Step 4: Simplify right side
    84,881.25x = 32,061,498,777.56
  5. Step 5: Solve for x
    x = 32,061,498,777.56/84,881.25
  6. Step 6: Final answer
    x = 377,721.80

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Why These Related Problems?

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