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Finding the Third Proportional to 52,568 and 107,590

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Solution

The third proportional to 52,568 and 107,590 is: 220,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568 : 107,590 = 107,590 : x
  2. Step 2: Convert to fraction form
    52,568/107,590 = 107,590/x
  3. Step 3: Cross multiply
    52,568x = 107,590 × 107,590
  4. Step 4: Simplify right side
    52,568x = 11,575,608,100
  5. Step 5: Solve for x
    x = 11,575,608,100/52,568
  6. Step 6: Final answer
    x = 220,202.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.