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Finding the Third Proportional to 90,553 and 197,934

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Solution

The third proportional to 90,553 and 197,934 is: 432,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,553 : 197,934 = 197,934 : x
  2. Step 2: Convert to fraction form
    90,553/197,934 = 197,934/x
  3. Step 3: Cross multiply
    90,553x = 197,934 × 197,934
  4. Step 4: Simplify right side
    90,553x = 39,177,868,356
  5. Step 5: Solve for x
    x = 39,177,868,356/90,553
  6. Step 6: Final answer
    x = 432,651.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.