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Finding the Third Proportional to 54,022 and 117,873

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Solution

The third proportional to 54,022 and 117,873 is: 257,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,022 : 117,873 = 117,873 : x
  2. Step 2: Convert to fraction form
    54,022/117,873 = 117,873/x
  3. Step 3: Cross multiply
    54,022x = 117,873 × 117,873
  4. Step 4: Simplify right side
    54,022x = 13,894,044,129
  5. Step 5: Solve for x
    x = 13,894,044,129/54,022
  6. Step 6: Final answer
    x = 257,192.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.