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Finding the Third Proportional to 51,333 and 76,790

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Solution

The third proportional to 51,333 and 76,790 is: 114,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,333 : 76,790 = 76,790 : x
  2. Step 2: Convert to fraction form
    51,333/76,790 = 76,790/x
  3. Step 3: Cross multiply
    51,333x = 76,790 × 76,790
  4. Step 4: Simplify right side
    51,333x = 5,896,704,100
  5. Step 5: Solve for x
    x = 5,896,704,100/51,333
  6. Step 6: Final answer
    x = 114,871.61

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