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Finding the Third Proportional to 49,506.75 and 116,745.75

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Solution

The third proportional to 49,506.75 and 116,745.75 is: 275,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506.75 : 116,745.75 = 116,745.75 : x
  2. Step 2: Convert to fraction form
    49,506.75/116,745.75 = 116,745.75/x
  3. Step 3: Cross multiply
    49,506.75x = 116,745.75 × 116,745.75
  4. Step 4: Simplify right side
    49,506.75x = 13,629,570,143.06
  5. Step 5: Solve for x
    x = 13,629,570,143.06/49,506.75
  6. Step 6: Final answer
    x = 275,307.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.