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Finding the Third Proportional to 25,197 and 54,999

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Solution

The third proportional to 25,197 and 54,999 is: 120,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197 : 54,999 = 54,999 : x
  2. Step 2: Convert to fraction form
    25,197/54,999 = 54,999/x
  3. Step 3: Cross multiply
    25,197x = 54,999 × 54,999
  4. Step 4: Simplify right side
    25,197x = 3,024,890,001
  5. Step 5: Solve for x
    x = 3,024,890,001/25,197
  6. Step 6: Final answer
    x = 120,049.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.