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Finding the Third Proportional to 90,265 and 195,839

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Solution

The third proportional to 90,265 and 195,839 is: 424,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,265 : 195,839 = 195,839 : x
  2. Step 2: Convert to fraction form
    90,265/195,839 = 195,839/x
  3. Step 3: Cross multiply
    90,265x = 195,839 × 195,839
  4. Step 4: Simplify right side
    90,265x = 38,352,913,921
  5. Step 5: Solve for x
    x = 38,352,913,921/90,265
  6. Step 6: Final answer
    x = 424,892.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.