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Finding the Third Proportional to 91,669 and 192,563

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Solution

The third proportional to 91,669 and 192,563 is: 404,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,669 : 192,563 = 192,563 : x
  2. Step 2: Convert to fraction form
    91,669/192,563 = 192,563/x
  3. Step 3: Cross multiply
    91,669x = 192,563 × 192,563
  4. Step 4: Simplify right side
    91,669x = 37,080,508,969
  5. Step 5: Solve for x
    x = 37,080,508,969/91,669
  6. Step 6: Final answer
    x = 404,504.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.