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Finding the Third Proportional to 104,149.13 and 155,542.31

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Solution

The third proportional to 104,149.13 and 155,542.31 is: 232,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,149.13 : 155,542.31 = 155,542.31 : x
  2. Step 2: Convert to fraction form
    104,149.13/155,542.31 = 155,542.31/x
  3. Step 3: Cross multiply
    104,149.13x = 155,542.31 × 155,542.31
  4. Step 4: Simplify right side
    104,149.13x = 24,193,410,977.85
  5. Step 5: Solve for x
    x = 24,193,410,977.85/104,149.13
  6. Step 6: Final answer
    x = 232,295.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.