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Finding the Third Proportional to 122,962 and 184,443

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Solution

The third proportional to 122,962 and 184,443 is: 276,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,962 : 184,443 = 184,443 : x
  2. Step 2: Convert to fraction form
    122,962/184,443 = 184,443/x
  3. Step 3: Cross multiply
    122,962x = 184,443 × 184,443
  4. Step 4: Simplify right side
    122,962x = 34,019,220,249
  5. Step 5: Solve for x
    x = 34,019,220,249/122,962
  6. Step 6: Final answer
    x = 276,664.50

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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.