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Finding the Third Proportional to 50,984.44 and 82,080.84

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Solution

The third proportional to 50,984.44 and 82,080.84 is: 132,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,984.44 : 82,080.84 = 82,080.84 : x
  2. Step 2: Convert to fraction form
    50,984.44/82,080.84 = 82,080.84/x
  3. Step 3: Cross multiply
    50,984.44x = 82,080.84 × 82,080.84
  4. Step 4: Simplify right side
    50,984.44x = 6,737,264,910.71
  5. Step 5: Solve for x
    x = 6,737,264,910.71/50,984.44
  6. Step 6: Final answer
    x = 132,143.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.