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Finding the Third Proportional to 96,762 and 212,599

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Solution

The third proportional to 96,762 and 212,599 is: 467,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762 : 212,599 = 212,599 : x
  2. Step 2: Convert to fraction form
    96,762/212,599 = 212,599/x
  3. Step 3: Cross multiply
    96,762x = 212,599 × 212,599
  4. Step 4: Simplify right side
    96,762x = 45,198,334,801
  5. Step 5: Solve for x
    x = 45,198,334,801/96,762
  6. Step 6: Final answer
    x = 467,108.32

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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.