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Finding the Third Proportional to 62,612 and 135,662

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Solution

The third proportional to 62,612 and 135,662 is: 293,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,612 : 135,662 = 135,662 : x
  2. Step 2: Convert to fraction form
    62,612/135,662 = 135,662/x
  3. Step 3: Cross multiply
    62,612x = 135,662 × 135,662
  4. Step 4: Simplify right side
    62,612x = 18,404,178,244
  5. Step 5: Solve for x
    x = 18,404,178,244/62,612
  6. Step 6: Final answer
    x = 293,940.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.