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Finding the Third Proportional to 106,256 and 212,512

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Solution

The third proportional to 106,256 and 212,512 is: 425,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,256 : 212,512 = 212,512 : x
  2. Step 2: Convert to fraction form
    106,256/212,512 = 212,512/x
  3. Step 3: Cross multiply
    106,256x = 212,512 × 212,512
  4. Step 4: Simplify right side
    106,256x = 45,161,350,144
  5. Step 5: Solve for x
    x = 45,161,350,144/106,256
  6. Step 6: Final answer
    x = 425,024

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.