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Finding the Third Proportional to 102,327 and 157,067

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Solution

The third proportional to 102,327 and 157,067 is: 241,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,327 : 157,067 = 157,067 : x
  2. Step 2: Convert to fraction form
    102,327/157,067 = 157,067/x
  3. Step 3: Cross multiply
    102,327x = 157,067 × 157,067
  4. Step 4: Simplify right side
    102,327x = 24,670,042,489
  5. Step 5: Solve for x
    x = 24,670,042,489/102,327
  6. Step 6: Final answer
    x = 241,090.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.