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Finding the Third Proportional to 73,930.22 and 115,822.41

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Solution

The third proportional to 73,930.22 and 115,822.41 is: 181,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,930.22 : 115,822.41 = 115,822.41 : x
  2. Step 2: Convert to fraction form
    73,930.22/115,822.41 = 115,822.41/x
  3. Step 3: Cross multiply
    73,930.22x = 115,822.41 × 115,822.41
  4. Step 4: Simplify right side
    73,930.22x = 13,414,829,789.54
  5. Step 5: Solve for x
    x = 13,414,829,789.54/73,930.22
  6. Step 6: Final answer
    x = 181,452.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.