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Finding the Third Proportional to 95,554 and 207,722

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Solution

The third proportional to 95,554 and 207,722 is: 451,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,554 : 207,722 = 207,722 : x
  2. Step 2: Convert to fraction form
    95,554/207,722 = 207,722/x
  3. Step 3: Cross multiply
    95,554x = 207,722 × 207,722
  4. Step 4: Simplify right side
    95,554x = 43,148,429,284
  5. Step 5: Solve for x
    x = 43,148,429,284/95,554
  6. Step 6: Final answer
    x = 451,560.68

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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.