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Finding the Third Proportional to 54,278 and 117,850

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Solution

The third proportional to 54,278 and 117,850 is: 255,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,278 : 117,850 = 117,850 : x
  2. Step 2: Convert to fraction form
    54,278/117,850 = 117,850/x
  3. Step 3: Cross multiply
    54,278x = 117,850 × 117,850
  4. Step 4: Simplify right side
    54,278x = 13,888,622,500
  5. Step 5: Solve for x
    x = 13,888,622,500/54,278
  6. Step 6: Final answer
    x = 255,879.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.