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Finding the Third Proportional to 119,082 and 184,305

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Solution

The third proportional to 119,082 and 184,305 is: 285,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,082 : 184,305 = 184,305 : x
  2. Step 2: Convert to fraction form
    119,082/184,305 = 184,305/x
  3. Step 3: Cross multiply
    119,082x = 184,305 × 184,305
  4. Step 4: Simplify right side
    119,082x = 33,968,333,025
  5. Step 5: Solve for x
    x = 33,968,333,025/119,082
  6. Step 6: Final answer
    x = 285,251.62

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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.