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Finding the Third Proportional to 51,366 and 106,764

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Solution

The third proportional to 51,366 and 106,764 is: 221,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,366 : 106,764 = 106,764 : x
  2. Step 2: Convert to fraction form
    51,366/106,764 = 106,764/x
  3. Step 3: Cross multiply
    51,366x = 106,764 × 106,764
  4. Step 4: Simplify right side
    51,366x = 11,398,551,696
  5. Step 5: Solve for x
    x = 11,398,551,696/51,366
  6. Step 6: Final answer
    x = 221,908.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.