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Finding the Third Proportional to 122,001 and 251,535

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Solution

The third proportional to 122,001 and 251,535 is: 518,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,001 : 251,535 = 251,535 : x
  2. Step 2: Convert to fraction form
    122,001/251,535 = 251,535/x
  3. Step 3: Cross multiply
    122,001x = 251,535 × 251,535
  4. Step 4: Simplify right side
    122,001x = 63,269,856,225
  5. Step 5: Solve for x
    x = 63,269,856,225/122,001
  6. Step 6: Final answer
    x = 518,601.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.