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Finding the Third Proportional to 103,658 and 217,761

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Solution

The third proportional to 103,658 and 217,761 is: 457,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 217,761 = 217,761 : x
  2. Step 2: Convert to fraction form
    103,658/217,761 = 217,761/x
  3. Step 3: Cross multiply
    103,658x = 217,761 × 217,761
  4. Step 4: Simplify right side
    103,658x = 47,419,853,121
  5. Step 5: Solve for x
    x = 47,419,853,121/103,658
  6. Step 6: Final answer
    x = 457,464.48

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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.