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Finding the Third Proportional to 122,396 and 164,734

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Solution

The third proportional to 122,396 and 164,734 is: 221,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,396 : 164,734 = 164,734 : x
  2. Step 2: Convert to fraction form
    122,396/164,734 = 164,734/x
  3. Step 3: Cross multiply
    122,396x = 164,734 × 164,734
  4. Step 4: Simplify right side
    122,396x = 27,137,290,756
  5. Step 5: Solve for x
    x = 27,137,290,756/122,396
  6. Step 6: Final answer
    x = 221,717.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.