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Finding the Third Proportional to 122,805 and 184,663

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Solution

The third proportional to 122,805 and 184,663 is: 277,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,805 : 184,663 = 184,663 : x
  2. Step 2: Convert to fraction form
    122,805/184,663 = 184,663/x
  3. Step 3: Cross multiply
    122,805x = 184,663 × 184,663
  4. Step 4: Simplify right side
    122,805x = 34,100,423,569
  5. Step 5: Solve for x
    x = 34,100,423,569/122,805
  6. Step 6: Final answer
    x = 277,679.44

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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.