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Finding the Third Proportional to 137,179.97 and 211,119.75

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Solution

The third proportional to 137,179.97 and 211,119.75 is: 324,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,179.97 : 211,119.75 = 211,119.75 : x
  2. Step 2: Convert to fraction form
    137,179.97/211,119.75 = 211,119.75/x
  3. Step 3: Cross multiply
    137,179.97x = 211,119.75 × 211,119.75
  4. Step 4: Simplify right side
    137,179.97x = 44,571,548,840.06
  5. Step 5: Solve for x
    x = 44,571,548,840.06/137,179.97
  6. Step 6: Final answer
    x = 324,912.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.