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Finding the Third Proportional to 80,741.97 and 173,822.84

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Solution

The third proportional to 80,741.97 and 173,822.84 is: 374,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,741.97 : 173,822.84 = 173,822.84 : x
  2. Step 2: Convert to fraction form
    80,741.97/173,822.84 = 173,822.84/x
  3. Step 3: Cross multiply
    80,741.97x = 173,822.84 × 173,822.84
  4. Step 4: Simplify right side
    80,741.97x = 30,214,378,293.36
  5. Step 5: Solve for x
    x = 30,214,378,293.36/80,741.97
  6. Step 6: Final answer
    x = 374,209.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.