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Finding the Third Proportional to 101,024 and 212,698

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Solution

The third proportional to 101,024 and 212,698 is: 447,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024 : 212,698 = 212,698 : x
  2. Step 2: Convert to fraction form
    101,024/212,698 = 212,698/x
  3. Step 3: Cross multiply
    101,024x = 212,698 × 212,698
  4. Step 4: Simplify right side
    101,024x = 45,240,439,204
  5. Step 5: Solve for x
    x = 45,240,439,204/101,024
  6. Step 6: Final answer
    x = 447,818.73

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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.