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Finding the Third Proportional to 90,554 and 192,788

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Solution

The third proportional to 90,554 and 192,788 is: 410,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,554 : 192,788 = 192,788 : x
  2. Step 2: Convert to fraction form
    90,554/192,788 = 192,788/x
  3. Step 3: Cross multiply
    90,554x = 192,788 × 192,788
  4. Step 4: Simplify right side
    90,554x = 37,167,212,944
  5. Step 5: Solve for x
    x = 37,167,212,944/90,554
  6. Step 6: Final answer
    x = 410,442.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.