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Finding the Third Proportional to 119,027 and 184,454

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Solution

The third proportional to 119,027 and 184,454 is: 285,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,027 : 184,454 = 184,454 : x
  2. Step 2: Convert to fraction form
    119,027/184,454 = 184,454/x
  3. Step 3: Cross multiply
    119,027x = 184,454 × 184,454
  4. Step 4: Simplify right side
    119,027x = 34,023,278,116
  5. Step 5: Solve for x
    x = 34,023,278,116/119,027
  6. Step 6: Final answer
    x = 285,845.04

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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.