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Finding the Third Proportional to 122,966 and 184,564

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Solution

The third proportional to 122,966 and 184,564 is: 277,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,966 : 184,564 = 184,564 : x
  2. Step 2: Convert to fraction form
    122,966/184,564 = 184,564/x
  3. Step 3: Cross multiply
    122,966x = 184,564 × 184,564
  4. Step 4: Simplify right side
    122,966x = 34,063,870,096
  5. Step 5: Solve for x
    x = 34,063,870,096/122,966
  6. Step 6: Final answer
    x = 277,018.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.