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Finding the Third Proportional to 79,589 and 124,226

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Solution

The third proportional to 79,589 and 124,226 is: 193,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,589 : 124,226 = 124,226 : x
  2. Step 2: Convert to fraction form
    79,589/124,226 = 124,226/x
  3. Step 3: Cross multiply
    79,589x = 124,226 × 124,226
  4. Step 4: Simplify right side
    79,589x = 15,432,099,076
  5. Step 5: Solve for x
    x = 15,432,099,076/79,589
  6. Step 6: Final answer
    x = 193,897.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.