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Finding the Third Proportional to 135,077 and 293,939

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Solution

The third proportional to 135,077 and 293,939 is: 639,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,077 : 293,939 = 293,939 : x
  2. Step 2: Convert to fraction form
    135,077/293,939 = 293,939/x
  3. Step 3: Cross multiply
    135,077x = 293,939 × 293,939
  4. Step 4: Simplify right side
    135,077x = 86,400,135,721
  5. Step 5: Solve for x
    x = 86,400,135,721/135,077
  6. Step 6: Final answer
    x = 639,636.18

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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.