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Finding the Third Proportional to 122,890 and 184,431

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Solution

The third proportional to 122,890 and 184,431 is: 276,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,890 : 184,431 = 184,431 : x
  2. Step 2: Convert to fraction form
    122,890/184,431 = 184,431/x
  3. Step 3: Cross multiply
    122,890x = 184,431 × 184,431
  4. Step 4: Simplify right side
    122,890x = 34,014,793,761
  5. Step 5: Solve for x
    x = 34,014,793,761/122,890
  6. Step 6: Final answer
    x = 276,790.57

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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.