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Finding the Third Proportional to 122,855.06 and 165,093.19

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Solution

The third proportional to 122,855.06 and 165,093.19 is: 221,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,855.06 : 165,093.19 = 165,093.19 : x
  2. Step 2: Convert to fraction form
    122,855.06/165,093.19 = 165,093.19/x
  3. Step 3: Cross multiply
    122,855.06x = 165,093.19 × 165,093.19
  4. Step 4: Simplify right side
    122,855.06x = 27,255,760,558.91
  5. Step 5: Solve for x
    x = 27,255,760,558.91/122,855.06
  6. Step 6: Final answer
    x = 221,852.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.