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Finding the Third Proportional to 95,718 and 223,563

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Solution

The third proportional to 95,718 and 223,563 is: 522,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,718 : 223,563 = 223,563 : x
  2. Step 2: Convert to fraction form
    95,718/223,563 = 223,563/x
  3. Step 3: Cross multiply
    95,718x = 223,563 × 223,563
  4. Step 4: Simplify right side
    95,718x = 49,980,414,969
  5. Step 5: Solve for x
    x = 49,980,414,969/95,718
  6. Step 6: Final answer
    x = 522,163.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.