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Finding the Third Proportional to 122,857 and 165,096

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Solution

The third proportional to 122,857 and 165,096 is: 221,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,857 : 165,096 = 165,096 : x
  2. Step 2: Convert to fraction form
    122,857/165,096 = 165,096/x
  3. Step 3: Cross multiply
    122,857x = 165,096 × 165,096
  4. Step 4: Simplify right side
    122,857x = 27,256,689,216
  5. Step 5: Solve for x
    x = 27,256,689,216/122,857
  6. Step 6: Final answer
    x = 221,857.03

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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.