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Finding the Third Proportional to 135,104 and 293,992

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Solution

The third proportional to 135,104 and 293,992 is: 639,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,104 : 293,992 = 293,992 : x
  2. Step 2: Convert to fraction form
    135,104/293,992 = 293,992/x
  3. Step 3: Cross multiply
    135,104x = 293,992 × 293,992
  4. Step 4: Simplify right side
    135,104x = 86,431,296,064
  5. Step 5: Solve for x
    x = 86,431,296,064/135,104
  6. Step 6: Final answer
    x = 639,738.99

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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.