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Finding the Third Proportional to 62,054 and 133,949

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Solution

The third proportional to 62,054 and 133,949 is: 289,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,054 : 133,949 = 133,949 : x
  2. Step 2: Convert to fraction form
    62,054/133,949 = 133,949/x
  3. Step 3: Cross multiply
    62,054x = 133,949 × 133,949
  4. Step 4: Simplify right side
    62,054x = 17,942,334,601
  5. Step 5: Solve for x
    x = 17,942,334,601/62,054
  6. Step 6: Final answer
    x = 289,140.66

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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.