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Finding the Third Proportional to 109,562.63 and 166,380.75

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Solution

The third proportional to 109,562.63 and 166,380.75 is: 252,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,562.63 : 166,380.75 = 166,380.75 : x
  2. Step 2: Convert to fraction form
    109,562.63/166,380.75 = 166,380.75/x
  3. Step 3: Cross multiply
    109,562.63x = 166,380.75 × 166,380.75
  4. Step 4: Simplify right side
    109,562.63x = 27,682,553,970.56
  5. Step 5: Solve for x
    x = 27,682,553,970.56/109,562.63
  6. Step 6: Final answer
    x = 252,664.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.