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Finding the Third Proportional to 55,734.75 and 122,033.25

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Solution

The third proportional to 55,734.75 and 122,033.25 is: 267,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734.75 : 122,033.25 = 122,033.25 : x
  2. Step 2: Convert to fraction form
    55,734.75/122,033.25 = 122,033.25/x
  3. Step 3: Cross multiply
    55,734.75x = 122,033.25 × 122,033.25
  4. Step 4: Simplify right side
    55,734.75x = 14,892,114,105.56
  5. Step 5: Solve for x
    x = 14,892,114,105.56/55,734.75
  6. Step 6: Final answer
    x = 267,196.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.