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Finding the Third Proportional to 52,808 and 76,836

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Solution

The third proportional to 52,808 and 76,836 is: 111,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,808 : 76,836 = 76,836 : x
  2. Step 2: Convert to fraction form
    52,808/76,836 = 76,836/x
  3. Step 3: Cross multiply
    52,808x = 76,836 × 76,836
  4. Step 4: Simplify right side
    52,808x = 5,903,770,896
  5. Step 5: Solve for x
    x = 5,903,770,896/52,808
  6. Step 6: Final answer
    x = 111,796.90

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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.