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Finding the Third Proportional to 51,698.25 and 106,629.75

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Solution

The third proportional to 51,698.25 and 106,629.75 is: 219,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,698.25 : 106,629.75 = 106,629.75 : x
  2. Step 2: Convert to fraction form
    51,698.25/106,629.75 = 106,629.75/x
  3. Step 3: Cross multiply
    51,698.25x = 106,629.75 × 106,629.75
  4. Step 4: Simplify right side
    51,698.25x = 11,369,903,585.06
  5. Step 5: Solve for x
    x = 11,369,903,585.06/51,698.25
  6. Step 6: Final answer
    x = 219,928.21

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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.