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Finding the Third Proportional to 71,203.88 and 168,083.25

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Solution

The third proportional to 71,203.88 and 168,083.25 is: 396,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.88 : 168,083.25 = 168,083.25 : x
  2. Step 2: Convert to fraction form
    71,203.88/168,083.25 = 168,083.25/x
  3. Step 3: Cross multiply
    71,203.88x = 168,083.25 × 168,083.25
  4. Step 4: Simplify right side
    71,203.88x = 28,251,978,930.56
  5. Step 5: Solve for x
    x = 28,251,978,930.56/71,203.88
  6. Step 6: Final answer
    x = 396,775.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.