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Finding the Third Proportional to 96,504 and 212,640

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Solution

The third proportional to 96,504 and 212,640 is: 468,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,504 : 212,640 = 212,640 : x
  2. Step 2: Convert to fraction form
    96,504/212,640 = 212,640/x
  3. Step 3: Cross multiply
    96,504x = 212,640 × 212,640
  4. Step 4: Simplify right side
    96,504x = 45,215,769,600
  5. Step 5: Solve for x
    x = 45,215,769,600/96,504
  6. Step 6: Final answer
    x = 468,537.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.