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Finding the Third Proportional to 62,062 and 133,963

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Solution

The third proportional to 62,062 and 133,963 is: 289,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,062 : 133,963 = 133,963 : x
  2. Step 2: Convert to fraction form
    62,062/133,963 = 133,963/x
  3. Step 3: Cross multiply
    62,062x = 133,963 × 133,963
  4. Step 4: Simplify right side
    62,062x = 17,946,085,369
  5. Step 5: Solve for x
    x = 17,946,085,369/62,062
  6. Step 6: Final answer
    x = 289,163.83

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Why These Related Problems?

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