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Finding the Third Proportional to 49,968 and 106,409.25

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Solution

The third proportional to 49,968 and 106,409.25 is: 226,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968 : 106,409.25 = 106,409.25 : x
  2. Step 2: Convert to fraction form
    49,968/106,409.25 = 106,409.25/x
  3. Step 3: Cross multiply
    49,968x = 106,409.25 × 106,409.25
  4. Step 4: Simplify right side
    49,968x = 11,322,928,485.56
  5. Step 5: Solve for x
    x = 11,322,928,485.56/49,968
  6. Step 6: Final answer
    x = 226,603.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.