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Finding the Third Proportional to 62,608 and 133,406

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Solution

The third proportional to 62,608 and 133,406 is: 284,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,608 : 133,406 = 133,406 : x
  2. Step 2: Convert to fraction form
    62,608/133,406 = 133,406/x
  3. Step 3: Cross multiply
    62,608x = 133,406 × 133,406
  4. Step 4: Simplify right side
    62,608x = 17,797,160,836
  5. Step 5: Solve for x
    x = 17,797,160,836/62,608
  6. Step 6: Final answer
    x = 284,263.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.