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Finding the Third Proportional to 119,036 and 184,467

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Solution

The third proportional to 119,036 and 184,467 is: 285,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,036 : 184,467 = 184,467 : x
  2. Step 2: Convert to fraction form
    119,036/184,467 = 184,467/x
  3. Step 3: Cross multiply
    119,036x = 184,467 × 184,467
  4. Step 4: Simplify right side
    119,036x = 34,028,074,089
  5. Step 5: Solve for x
    x = 34,028,074,089/119,036
  6. Step 6: Final answer
    x = 285,863.72

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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.