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Finding the Third Proportional to 122,049 and 250,044

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Solution

The third proportional to 122,049 and 250,044 is: 512,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,049 : 250,044 = 250,044 : x
  2. Step 2: Convert to fraction form
    122,049/250,044 = 250,044/x
  3. Step 3: Cross multiply
    122,049x = 250,044 × 250,044
  4. Step 4: Simplify right side
    122,049x = 62,522,001,936
  5. Step 5: Solve for x
    x = 62,522,001,936/122,049
  6. Step 6: Final answer
    x = 512,269.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.