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Finding the Third Proportional to 54,245 and 111,973

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Solution

The third proportional to 54,245 and 111,973 is: 231,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,245 : 111,973 = 111,973 : x
  2. Step 2: Convert to fraction form
    54,245/111,973 = 111,973/x
  3. Step 3: Cross multiply
    54,245x = 111,973 × 111,973
  4. Step 4: Simplify right side
    54,245x = 12,537,952,729
  5. Step 5: Solve for x
    x = 12,537,952,729/54,245
  6. Step 6: Final answer
    x = 231,135.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.