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Finding the Third Proportional to 109,309.50 and 166,232.25

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Solution

The third proportional to 109,309.50 and 166,232.25 is: 252,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.50 : 166,232.25 = 166,232.25 : x
  2. Step 2: Convert to fraction form
    109,309.50/166,232.25 = 166,232.25/x
  3. Step 3: Cross multiply
    109,309.50x = 166,232.25 × 166,232.25
  4. Step 4: Simplify right side
    109,309.50x = 27,633,160,940.06
  5. Step 5: Solve for x
    x = 27,633,160,940.06/109,309.50
  6. Step 6: Final answer
    x = 252,797.43

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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.