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Finding the Third Proportional to 125,676 and 184,734

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Solution

The third proportional to 125,676 and 184,734 is: 271,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,676 : 184,734 = 184,734 : x
  2. Step 2: Convert to fraction form
    125,676/184,734 = 184,734/x
  3. Step 3: Cross multiply
    125,676x = 184,734 × 184,734
  4. Step 4: Simplify right side
    125,676x = 34,126,650,756
  5. Step 5: Solve for x
    x = 34,126,650,756/125,676
  6. Step 6: Final answer
    x = 271,544.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.