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Finding the Third Proportional to 51,974 and 75,855

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Solution

The third proportional to 51,974 and 75,855 is: 110,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,974 : 75,855 = 75,855 : x
  2. Step 2: Convert to fraction form
    51,974/75,855 = 75,855/x
  3. Step 3: Cross multiply
    51,974x = 75,855 × 75,855
  4. Step 4: Simplify right side
    51,974x = 5,753,981,025
  5. Step 5: Solve for x
    x = 5,753,981,025/51,974
  6. Step 6: Final answer
    x = 110,708.84

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