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Finding the Third Proportional to 137,059.88 and 205,589.25

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Solution

The third proportional to 137,059.88 and 205,589.25 is: 308,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,059.88 : 205,589.25 = 205,589.25 : x
  2. Step 2: Convert to fraction form
    137,059.88/205,589.25 = 205,589.25/x
  3. Step 3: Cross multiply
    137,059.88x = 205,589.25 × 205,589.25
  4. Step 4: Simplify right side
    137,059.88x = 42,266,939,715.56
  5. Step 5: Solve for x
    x = 42,266,939,715.56/137,059.88
  6. Step 6: Final answer
    x = 308,383.03

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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.