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Finding the Third Proportional to 122,663 and 184,601

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Solution

The third proportional to 122,663 and 184,601 is: 277,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,663 : 184,601 = 184,601 : x
  2. Step 2: Convert to fraction form
    122,663/184,601 = 184,601/x
  3. Step 3: Cross multiply
    122,663x = 184,601 × 184,601
  4. Step 4: Simplify right side
    122,663x = 34,077,529,201
  5. Step 5: Solve for x
    x = 34,077,529,201/122,663
  6. Step 6: Final answer
    x = 277,814.25

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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.