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Finding the Third Proportional to 122,736 and 269,592

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Solution

The third proportional to 122,736 and 269,592 is: 592,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,736 : 269,592 = 269,592 : x
  2. Step 2: Convert to fraction form
    122,736/269,592 = 269,592/x
  3. Step 3: Cross multiply
    122,736x = 269,592 × 269,592
  4. Step 4: Simplify right side
    122,736x = 72,679,846,464
  5. Step 5: Solve for x
    x = 72,679,846,464/122,736
  6. Step 6: Final answer
    x = 592,164.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.