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Finding the Third Proportional to 100,969 and 212,589

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Solution

The third proportional to 100,969 and 212,589 is: 447,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969 : 212,589 = 212,589 : x
  2. Step 2: Convert to fraction form
    100,969/212,589 = 212,589/x
  3. Step 3: Cross multiply
    100,969x = 212,589 × 212,589
  4. Step 4: Simplify right side
    100,969x = 45,194,082,921
  5. Step 5: Solve for x
    x = 45,194,082,921/100,969
  6. Step 6: Final answer
    x = 447,603.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.