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Finding the Third Proportional to 54,766 and 122,006

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Solution

The third proportional to 54,766 and 122,006 is: 271,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766 : 122,006 = 122,006 : x
  2. Step 2: Convert to fraction form
    54,766/122,006 = 122,006/x
  3. Step 3: Cross multiply
    54,766x = 122,006 × 122,006
  4. Step 4: Simplify right side
    54,766x = 14,885,464,036
  5. Step 5: Solve for x
    x = 14,885,464,036/54,766
  6. Step 6: Final answer
    x = 271,801.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.