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Finding the Third Proportional to 54,463 and 117,973

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Solution

The third proportional to 54,463 and 117,973 is: 255,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,463 : 117,973 = 117,973 : x
  2. Step 2: Convert to fraction form
    54,463/117,973 = 117,973/x
  3. Step 3: Cross multiply
    54,463x = 117,973 × 117,973
  4. Step 4: Simplify right side
    54,463x = 13,917,628,729
  5. Step 5: Solve for x
    x = 13,917,628,729/54,463
  6. Step 6: Final answer
    x = 255,542.82

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Why These Related Problems?

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