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Finding the Third Proportional to 53,229 and 112,949

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Solution

The third proportional to 53,229 and 112,949 is: 239,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,229 : 112,949 = 112,949 : x
  2. Step 2: Convert to fraction form
    53,229/112,949 = 112,949/x
  3. Step 3: Cross multiply
    53,229x = 112,949 × 112,949
  4. Step 4: Simplify right side
    53,229x = 12,757,476,601
  5. Step 5: Solve for x
    x = 12,757,476,601/53,229
  6. Step 6: Final answer
    x = 239,671.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.