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Finding the Third Proportional to 90,177 and 192,862

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Solution

The third proportional to 90,177 and 192,862 is: 412,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,177 : 192,862 = 192,862 : x
  2. Step 2: Convert to fraction form
    90,177/192,862 = 192,862/x
  3. Step 3: Cross multiply
    90,177x = 192,862 × 192,862
  4. Step 4: Simplify right side
    90,177x = 37,195,751,044
  5. Step 5: Solve for x
    x = 37,195,751,044/90,177
  6. Step 6: Final answer
    x = 412,474.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.