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Finding the Third Proportional to 90,945 and 186,396

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Solution

The third proportional to 90,945 and 186,396 is: 382,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,945 : 186,396 = 186,396 : x
  2. Step 2: Convert to fraction form
    90,945/186,396 = 186,396/x
  3. Step 3: Cross multiply
    90,945x = 186,396 × 186,396
  4. Step 4: Simplify right side
    90,945x = 34,743,468,816
  5. Step 5: Solve for x
    x = 34,743,468,816/90,945
  6. Step 6: Final answer
    x = 382,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.