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Finding the Third Proportional to 54,945 and 117,663

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Solution

The third proportional to 54,945 and 117,663 is: 251,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945 : 117,663 = 117,663 : x
  2. Step 2: Convert to fraction form
    54,945/117,663 = 117,663/x
  3. Step 3: Cross multiply
    54,945x = 117,663 × 117,663
  4. Step 4: Simplify right side
    54,945x = 13,844,581,569
  5. Step 5: Solve for x
    x = 13,844,581,569/54,945
  6. Step 6: Final answer
    x = 251,971.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.