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Finding the Third Proportional to 51,966 and 76,005

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Solution

The third proportional to 51,966 and 76,005 is: 111,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966 : 76,005 = 76,005 : x
  2. Step 2: Convert to fraction form
    51,966/76,005 = 76,005/x
  3. Step 3: Cross multiply
    51,966x = 76,005 × 76,005
  4. Step 4: Simplify right side
    51,966x = 5,776,760,025
  5. Step 5: Solve for x
    x = 5,776,760,025/51,966
  6. Step 6: Final answer
    x = 111,164.22

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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.