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Finding the Third Proportional to 62,727 and 135,678

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Solution

The third proportional to 62,727 and 135,678 is: 293,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,727 : 135,678 = 135,678 : x
  2. Step 2: Convert to fraction form
    62,727/135,678 = 135,678/x
  3. Step 3: Cross multiply
    62,727x = 135,678 × 135,678
  4. Step 4: Simplify right side
    62,727x = 18,408,519,684
  5. Step 5: Solve for x
    x = 18,408,519,684/62,727
  6. Step 6: Final answer
    x = 293,470.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.