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Finding the Third Proportional to 73,973.25 and 172,887.75

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Solution

The third proportional to 73,973.25 and 172,887.75 is: 404,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,973.25 : 172,887.75 = 172,887.75 : x
  2. Step 2: Convert to fraction form
    73,973.25/172,887.75 = 172,887.75/x
  3. Step 3: Cross multiply
    73,973.25x = 172,887.75 × 172,887.75
  4. Step 4: Simplify right side
    73,973.25x = 29,890,174,100.06
  5. Step 5: Solve for x
    x = 29,890,174,100.06/73,973.25
  6. Step 6: Final answer
    x = 404,067.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.