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Finding the Third Proportional to 122,936 and 268,212

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Solution

The third proportional to 122,936 and 268,212 is: 585,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,936 : 268,212 = 268,212 : x
  2. Step 2: Convert to fraction form
    122,936/268,212 = 268,212/x
  3. Step 3: Cross multiply
    122,936x = 268,212 × 268,212
  4. Step 4: Simplify right side
    122,936x = 71,937,676,944
  5. Step 5: Solve for x
    x = 71,937,676,944/122,936
  6. Step 6: Final answer
    x = 585,163.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.