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Finding the Third Proportional to 55,532.07 and 108,296.21

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Solution

The third proportional to 55,532.07 and 108,296.21 is: 211,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,532.07 : 108,296.21 = 108,296.21 : x
  2. Step 2: Convert to fraction form
    55,532.07/108,296.21 = 108,296.21/x
  3. Step 3: Cross multiply
    55,532.07x = 108,296.21 × 108,296.21
  4. Step 4: Simplify right side
    55,532.07x = 11,728,068,880.39
  5. Step 5: Solve for x
    x = 11,728,068,880.39/55,532.07
  6. Step 6: Final answer
    x = 211,194.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.