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Finding the Third Proportional to 54,816 and 117,945

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Solution

The third proportional to 54,816 and 117,945 is: 253,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 117,945 = 117,945 : x
  2. Step 2: Convert to fraction form
    54,816/117,945 = 117,945/x
  3. Step 3: Cross multiply
    54,816x = 117,945 × 117,945
  4. Step 4: Simplify right side
    54,816x = 13,911,023,025
  5. Step 5: Solve for x
    x = 13,911,023,025/54,816
  6. Step 6: Final answer
    x = 253,776.69

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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.