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Finding the Third Proportional to 58,342.78 and 80,998.73

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Solution

The third proportional to 58,342.78 and 80,998.73 is: 112,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,342.78 : 80,998.73 = 80,998.73 : x
  2. Step 2: Convert to fraction form
    58,342.78/80,998.73 = 80,998.73/x
  3. Step 3: Cross multiply
    58,342.78x = 80,998.73 × 80,998.73
  4. Step 4: Simplify right side
    58,342.78x = 6,560,794,970.35
  5. Step 5: Solve for x
    x = 6,560,794,970.35/58,342.78
  6. Step 6: Final answer
    x = 112,452.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.