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Finding the Third Proportional to 119,068 and 184,200

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Solution

The third proportional to 119,068 and 184,200 is: 284,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,068 : 184,200 = 184,200 : x
  2. Step 2: Convert to fraction form
    119,068/184,200 = 184,200/x
  3. Step 3: Cross multiply
    119,068x = 184,200 × 184,200
  4. Step 4: Simplify right side
    119,068x = 33,929,640,000
  5. Step 5: Solve for x
    x = 33,929,640,000/119,068
  6. Step 6: Final answer
    x = 284,960.19

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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.