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Finding the Third Proportional to 119,037 and 184,233

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Solution

The third proportional to 119,037 and 184,233 is: 285,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,037 : 184,233 = 184,233 : x
  2. Step 2: Convert to fraction form
    119,037/184,233 = 184,233/x
  3. Step 3: Cross multiply
    119,037x = 184,233 × 184,233
  4. Step 4: Simplify right side
    119,037x = 33,941,798,289
  5. Step 5: Solve for x
    x = 33,941,798,289/119,037
  6. Step 6: Final answer
    x = 285,136.54

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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.