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Finding the Third Proportional to 122,134 and 269,116

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Solution

The third proportional to 122,134 and 269,116 is: 592,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,134 : 269,116 = 269,116 : x
  2. Step 2: Convert to fraction form
    122,134/269,116 = 269,116/x
  3. Step 3: Cross multiply
    122,134x = 269,116 × 269,116
  4. Step 4: Simplify right side
    122,134x = 72,423,421,456
  5. Step 5: Solve for x
    x = 72,423,421,456/122,134
  6. Step 6: Final answer
    x = 592,983.29

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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.