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Finding the Third Proportional to 51,728 and 76,071

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Solution

The third proportional to 51,728 and 76,071 is: 111,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728 : 76,071 = 76,071 : x
  2. Step 2: Convert to fraction form
    51,728/76,071 = 76,071/x
  3. Step 3: Cross multiply
    51,728x = 76,071 × 76,071
  4. Step 4: Simplify right side
    51,728x = 5,786,797,041
  5. Step 5: Solve for x
    x = 5,786,797,041/51,728
  6. Step 6: Final answer
    x = 111,869.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.