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Finding the Third Proportional to 51,719 and 106,674

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Solution

The third proportional to 51,719 and 106,674 is: 220,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719 : 106,674 = 106,674 : x
  2. Step 2: Convert to fraction form
    51,719/106,674 = 106,674/x
  3. Step 3: Cross multiply
    51,719x = 106,674 × 106,674
  4. Step 4: Simplify right side
    51,719x = 11,379,342,276
  5. Step 5: Solve for x
    x = 11,379,342,276/51,719
  6. Step 6: Final answer
    x = 220,022.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.