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Finding the Third Proportional to 122,936 and 185,269

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Solution

The third proportional to 122,936 and 185,269 is: 279,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,936 : 185,269 = 185,269 : x
  2. Step 2: Convert to fraction form
    122,936/185,269 = 185,269/x
  3. Step 3: Cross multiply
    122,936x = 185,269 × 185,269
  4. Step 4: Simplify right side
    122,936x = 34,324,602,361
  5. Step 5: Solve for x
    x = 34,324,602,361/122,936
  6. Step 6: Final answer
    x = 279,207.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.