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Finding the Third Proportional to 51,008 and 120,608

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Solution

The third proportional to 51,008 and 120,608 is: 285,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 120,608 = 120,608 : x
  2. Step 2: Convert to fraction form
    51,008/120,608 = 120,608/x
  3. Step 3: Cross multiply
    51,008x = 120,608 × 120,608
  4. Step 4: Simplify right side
    51,008x = 14,546,289,664
  5. Step 5: Solve for x
    x = 14,546,289,664/51,008
  6. Step 6: Final answer
    x = 285,176.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.