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Finding the Third Proportional to 90,606 and 192,174

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Solution

The third proportional to 90,606 and 192,174 is: 407,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,606 : 192,174 = 192,174 : x
  2. Step 2: Convert to fraction form
    90,606/192,174 = 192,174/x
  3. Step 3: Cross multiply
    90,606x = 192,174 × 192,174
  4. Step 4: Simplify right side
    90,606x = 36,930,846,276
  5. Step 5: Solve for x
    x = 36,930,846,276/90,606
  6. Step 6: Final answer
    x = 407,598.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.