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Finding the Third Proportional to 54,803.25 and 82,212.47

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Solution

The third proportional to 54,803.25 and 82,212.47 is: 123,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,803.25 : 82,212.47 = 82,212.47 : x
  2. Step 2: Convert to fraction form
    54,803.25/82,212.47 = 82,212.47/x
  3. Step 3: Cross multiply
    54,803.25x = 82,212.47 × 82,212.47
  4. Step 4: Simplify right side
    54,803.25x = 6,758,890,017.97
  5. Step 5: Solve for x
    x = 6,758,890,017.97/54,803.25
  6. Step 6: Final answer
    x = 123,330.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.