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Finding the Third Proportional to 25,686 and 56,099

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Solution

The third proportional to 25,686 and 56,099 is: 122,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686 : 56,099 = 56,099 : x
  2. Step 2: Convert to fraction form
    25,686/56,099 = 56,099/x
  3. Step 3: Cross multiply
    25,686x = 56,099 × 56,099
  4. Step 4: Simplify right side
    25,686x = 3,147,097,801
  5. Step 5: Solve for x
    x = 3,147,097,801/25,686
  6. Step 6: Final answer
    x = 122,521.91

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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.