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Finding the Third Proportional to 119,070 and 184,204

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Solution

The third proportional to 119,070 and 184,204 is: 284,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070 : 184,204 = 184,204 : x
  2. Step 2: Convert to fraction form
    119,070/184,204 = 184,204/x
  3. Step 3: Cross multiply
    119,070x = 184,204 × 184,204
  4. Step 4: Simplify right side
    119,070x = 33,931,113,616
  5. Step 5: Solve for x
    x = 33,931,113,616/119,070
  6. Step 6: Final answer
    x = 284,967.78

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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.