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Finding the Third Proportional to 54,563 and 117,469

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Solution

The third proportional to 54,563 and 117,469 is: 252,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,563 : 117,469 = 117,469 : x
  2. Step 2: Convert to fraction form
    54,563/117,469 = 117,469/x
  3. Step 3: Cross multiply
    54,563x = 117,469 × 117,469
  4. Step 4: Simplify right side
    54,563x = 13,798,965,961
  5. Step 5: Solve for x
    x = 13,798,965,961/54,563
  6. Step 6: Final answer
    x = 252,899.69

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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.