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Finding the Third Proportional to 51,963 and 76,093

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Solution

The third proportional to 51,963 and 76,093 is: 111,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963 : 76,093 = 76,093 : x
  2. Step 2: Convert to fraction form
    51,963/76,093 = 76,093/x
  3. Step 3: Cross multiply
    51,963x = 76,093 × 76,093
  4. Step 4: Simplify right side
    51,963x = 5,790,144,649
  5. Step 5: Solve for x
    x = 5,790,144,649/51,963
  6. Step 6: Final answer
    x = 111,428.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.