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Finding the Third Proportional to 51,048 and 76,616

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Solution

The third proportional to 51,048 and 76,616 is: 114,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048 : 76,616 = 76,616 : x
  2. Step 2: Convert to fraction form
    51,048/76,616 = 76,616/x
  3. Step 3: Cross multiply
    51,048x = 76,616 × 76,616
  4. Step 4: Simplify right side
    51,048x = 5,870,011,456
  5. Step 5: Solve for x
    x = 5,870,011,456/51,048
  6. Step 6: Final answer
    x = 114,990.04

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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.