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Finding the Third Proportional to 55,511.16 and 122,093.16

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Solution

The third proportional to 55,511.16 and 122,093.16 is: 268,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,511.16 : 122,093.16 = 122,093.16 : x
  2. Step 2: Convert to fraction form
    55,511.16/122,093.16 = 122,093.16/x
  3. Step 3: Cross multiply
    55,511.16x = 122,093.16 × 122,093.16
  4. Step 4: Simplify right side
    55,511.16x = 14,906,738,803.09
  5. Step 5: Solve for x
    x = 14,906,738,803.09/55,511.16
  6. Step 6: Final answer
    x = 268,535.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.