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Finding the Third Proportional to 52,336 and 106,976

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Solution

The third proportional to 52,336 and 106,976 is: 218,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,336 : 106,976 = 106,976 : x
  2. Step 2: Convert to fraction form
    52,336/106,976 = 106,976/x
  3. Step 3: Cross multiply
    52,336x = 106,976 × 106,976
  4. Step 4: Simplify right side
    52,336x = 11,443,864,576
  5. Step 5: Solve for x
    x = 11,443,864,576/52,336
  6. Step 6: Final answer
    x = 218,661.43

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.