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Finding the Third Proportional to 51,008 and 76,512

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Solution

The third proportional to 51,008 and 76,512 is: 114,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 76,512 = 76,512 : x
  2. Step 2: Convert to fraction form
    51,008/76,512 = 76,512/x
  3. Step 3: Cross multiply
    51,008x = 76,512 × 76,512
  4. Step 4: Simplify right side
    51,008x = 5,854,086,144
  5. Step 5: Solve for x
    x = 5,854,086,144/51,008
  6. Step 6: Final answer
    x = 114,768

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.