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Finding the Third Proportional to 122,566.50 and 166,340.25

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Solution

The third proportional to 122,566.50 and 166,340.25 is: 225,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,566.50 : 166,340.25 = 166,340.25 : x
  2. Step 2: Convert to fraction form
    122,566.50/166,340.25 = 166,340.25/x
  3. Step 3: Cross multiply
    122,566.50x = 166,340.25 × 166,340.25
  4. Step 4: Simplify right side
    122,566.50x = 27,669,078,770.06
  5. Step 5: Solve for x
    x = 27,669,078,770.06/122,566.50
  6. Step 6: Final answer
    x = 225,747.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.