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Finding the Third Proportional to 25,067 and 59,387

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Solution

The third proportional to 25,067 and 59,387 is: 140,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,067 : 59,387 = 59,387 : x
  2. Step 2: Convert to fraction form
    25,067/59,387 = 59,387/x
  3. Step 3: Cross multiply
    25,067x = 59,387 × 59,387
  4. Step 4: Simplify right side
    25,067x = 3,526,815,769
  5. Step 5: Solve for x
    x = 3,526,815,769/25,067
  6. Step 6: Final answer
    x = 140,695.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.