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Finding the Third Proportional to 51,724 and 106,684

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Solution

The third proportional to 51,724 and 106,684 is: 220,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,724 : 106,684 = 106,684 : x
  2. Step 2: Convert to fraction form
    51,724/106,684 = 106,684/x
  3. Step 3: Cross multiply
    51,724x = 106,684 × 106,684
  4. Step 4: Simplify right side
    51,724x = 11,381,475,856
  5. Step 5: Solve for x
    x = 11,381,475,856/51,724
  6. Step 6: Final answer
    x = 220,042.45

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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.