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Finding the Third Proportional to 119,096 and 184,474

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Solution

The third proportional to 119,096 and 184,474 is: 285,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,096 : 184,474 = 184,474 : x
  2. Step 2: Convert to fraction form
    119,096/184,474 = 184,474/x
  3. Step 3: Cross multiply
    119,096x = 184,474 × 184,474
  4. Step 4: Simplify right side
    119,096x = 34,030,656,676
  5. Step 5: Solve for x
    x = 34,030,656,676/119,096
  6. Step 6: Final answer
    x = 285,741.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.