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Finding the Third Proportional to 122,676 and 184,623

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Solution

The third proportional to 122,676 and 184,623 is: 277,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,676 : 184,623 = 184,623 : x
  2. Step 2: Convert to fraction form
    122,676/184,623 = 184,623/x
  3. Step 3: Cross multiply
    122,676x = 184,623 × 184,623
  4. Step 4: Simplify right side
    122,676x = 34,085,652,129
  5. Step 5: Solve for x
    x = 34,085,652,129/122,676
  6. Step 6: Final answer
    x = 277,851.02

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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.