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Finding the Third Proportional to 60,027 and 128,949

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Solution

The third proportional to 60,027 and 128,949 is: 277,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,027 : 128,949 = 128,949 : x
  2. Step 2: Convert to fraction form
    60,027/128,949 = 128,949/x
  3. Step 3: Cross multiply
    60,027x = 128,949 × 128,949
  4. Step 4: Simplify right side
    60,027x = 16,627,844,601
  5. Step 5: Solve for x
    x = 16,627,844,601/60,027
  6. Step 6: Final answer
    x = 277,006.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.