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Finding the Third Proportional to 69,066 and 104,949

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Solution

The third proportional to 69,066 and 104,949 is: 159,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,066 : 104,949 = 104,949 : x
  2. Step 2: Convert to fraction form
    69,066/104,949 = 104,949/x
  3. Step 3: Cross multiply
    69,066x = 104,949 × 104,949
  4. Step 4: Simplify right side
    69,066x = 11,014,292,601
  5. Step 5: Solve for x
    x = 11,014,292,601/69,066
  6. Step 6: Final answer
    x = 159,474.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.