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Finding the Third Proportional to 103,568 and 217,592

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Solution

The third proportional to 103,568 and 217,592 is: 457,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,568 : 217,592 = 217,592 : x
  2. Step 2: Convert to fraction form
    103,568/217,592 = 217,592/x
  3. Step 3: Cross multiply
    103,568x = 217,592 × 217,592
  4. Step 4: Simplify right side
    103,568x = 47,346,278,464
  5. Step 5: Solve for x
    x = 47,346,278,464/103,568
  6. Step 6: Final answer
    x = 457,151.62

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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.