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Finding the Third Proportional to 91,200.75 and 137,093.06

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Solution

The third proportional to 91,200.75 and 137,093.06 is: 206,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,200.75 : 137,093.06 = 137,093.06 : x
  2. Step 2: Convert to fraction form
    91,200.75/137,093.06 = 137,093.06/x
  3. Step 3: Cross multiply
    91,200.75x = 137,093.06 × 137,093.06
  4. Step 4: Simplify right side
    91,200.75x = 18,794,507,785.63
  5. Step 5: Solve for x
    x = 18,794,507,785.63/91,200.75
  6. Step 6: Final answer
    x = 206,078.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.