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Finding the Third Proportional to 72,985 and 157,067

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Solution

The third proportional to 72,985 and 157,067 is: 338,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,985 : 157,067 = 157,067 : x
  2. Step 2: Convert to fraction form
    72,985/157,067 = 157,067/x
  3. Step 3: Cross multiply
    72,985x = 157,067 × 157,067
  4. Step 4: Simplify right side
    72,985x = 24,670,042,489
  5. Step 5: Solve for x
    x = 24,670,042,489/72,985
  6. Step 6: Final answer
    x = 338,015.24

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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.