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Finding the Third Proportional to 122,677 and 184,630

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Solution

The third proportional to 122,677 and 184,630 is: 277,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,677 : 184,630 = 184,630 : x
  2. Step 2: Convert to fraction form
    122,677/184,630 = 184,630/x
  3. Step 3: Cross multiply
    122,677x = 184,630 × 184,630
  4. Step 4: Simplify right side
    122,677x = 34,088,236,900
  5. Step 5: Solve for x
    x = 34,088,236,900/122,677
  6. Step 6: Final answer
    x = 277,869.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.