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Finding the Third Proportional to 122,001 and 264,366

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Solution

The third proportional to 122,001 and 264,366 is: 572,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,001 : 264,366 = 264,366 : x
  2. Step 2: Convert to fraction form
    122,001/264,366 = 264,366/x
  3. Step 3: Cross multiply
    122,001x = 264,366 × 264,366
  4. Step 4: Simplify right side
    122,001x = 69,889,381,956
  5. Step 5: Solve for x
    x = 69,889,381,956/122,001
  6. Step 6: Final answer
    x = 572,859.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.