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Finding the Third Proportional to 122,094 and 251,496

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Solution

The third proportional to 122,094 and 251,496 is: 518,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,094 : 251,496 = 251,496 : x
  2. Step 2: Convert to fraction form
    122,094/251,496 = 251,496/x
  3. Step 3: Cross multiply
    122,094x = 251,496 × 251,496
  4. Step 4: Simplify right side
    122,094x = 63,250,238,016
  5. Step 5: Solve for x
    x = 63,250,238,016/122,094
  6. Step 6: Final answer
    x = 518,045.42

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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.