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Finding the Third Proportional to 51,994 and 106,450

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Solution

The third proportional to 51,994 and 106,450 is: 217,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994 : 106,450 = 106,450 : x
  2. Step 2: Convert to fraction form
    51,994/106,450 = 106,450/x
  3. Step 3: Cross multiply
    51,994x = 106,450 × 106,450
  4. Step 4: Simplify right side
    51,994x = 11,331,602,500
  5. Step 5: Solve for x
    x = 11,331,602,500/51,994
  6. Step 6: Final answer
    x = 217,940.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.