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Finding the Third Proportional to 54,816 and 117,950

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Solution

The third proportional to 54,816 and 117,950 is: 253,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 117,950 = 117,950 : x
  2. Step 2: Convert to fraction form
    54,816/117,950 = 117,950/x
  3. Step 3: Cross multiply
    54,816x = 117,950 × 117,950
  4. Step 4: Simplify right side
    54,816x = 13,912,202,500
  5. Step 5: Solve for x
    x = 13,912,202,500/54,816
  6. Step 6: Final answer
    x = 253,798.21

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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.