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Finding the Third Proportional to 121,100.06 and 166,239.84

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Solution

The third proportional to 121,100.06 and 166,239.84 is: 228,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,100.06 : 166,239.84 = 166,239.84 : x
  2. Step 2: Convert to fraction form
    121,100.06/166,239.84 = 166,239.84/x
  3. Step 3: Cross multiply
    121,100.06x = 166,239.84 × 166,239.84
  4. Step 4: Simplify right side
    121,100.06x = 27,635,685,650.02
  5. Step 5: Solve for x
    x = 27,635,685,650.02/121,100.06
  6. Step 6: Final answer
    x = 228,205.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.