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Finding the Third Proportional to 54,038 and 81,801

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Solution

The third proportional to 54,038 and 81,801 is: 123,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038 : 81,801 = 81,801 : x
  2. Step 2: Convert to fraction form
    54,038/81,801 = 81,801/x
  3. Step 3: Cross multiply
    54,038x = 81,801 × 81,801
  4. Step 4: Simplify right side
    54,038x = 6,691,403,601
  5. Step 5: Solve for x
    x = 6,691,403,601/54,038
  6. Step 6: Final answer
    x = 123,827.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.