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Finding the Third Proportional to 94,707 and 204,174

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Solution

The third proportional to 94,707 and 204,174 is: 440,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,707 : 204,174 = 204,174 : x
  2. Step 2: Convert to fraction form
    94,707/204,174 = 204,174/x
  3. Step 3: Cross multiply
    94,707x = 204,174 × 204,174
  4. Step 4: Simplify right side
    94,707x = 41,687,022,276
  5. Step 5: Solve for x
    x = 41,687,022,276/94,707
  6. Step 6: Final answer
    x = 440,168.33

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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.