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Finding the Third Proportional to 90,945 and 186,264

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Solution

The third proportional to 90,945 and 186,264 is: 381,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,945 : 186,264 = 186,264 : x
  2. Step 2: Convert to fraction form
    90,945/186,264 = 186,264/x
  3. Step 3: Cross multiply
    90,945x = 186,264 × 186,264
  4. Step 4: Simplify right side
    90,945x = 34,694,277,696
  5. Step 5: Solve for x
    x = 34,694,277,696/90,945
  6. Step 6: Final answer
    x = 381,486.37

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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.