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Finding the Third Proportional to 56,794 and 123,902

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Solution

The third proportional to 56,794 and 123,902 is: 270,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,794 : 123,902 = 123,902 : x
  2. Step 2: Convert to fraction form
    56,794/123,902 = 123,902/x
  3. Step 3: Cross multiply
    56,794x = 123,902 × 123,902
  4. Step 4: Simplify right side
    56,794x = 15,351,705,604
  5. Step 5: Solve for x
    x = 15,351,705,604/56,794
  6. Step 6: Final answer
    x = 270,305.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.