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Finding the Third Proportional to 94,680 and 204,122

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Solution

The third proportional to 94,680 and 204,122 is: 440,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,680 : 204,122 = 204,122 : x
  2. Step 2: Convert to fraction form
    94,680/204,122 = 204,122/x
  3. Step 3: Cross multiply
    94,680x = 204,122 × 204,122
  4. Step 4: Simplify right side
    94,680x = 41,665,790,884
  5. Step 5: Solve for x
    x = 41,665,790,884/94,680
  6. Step 6: Final answer
    x = 440,069.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.