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Finding the Third Proportional to 137,662.03 and 193,861.69

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Solution

The third proportional to 137,662.03 and 193,861.69 is: 273,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,662.03 : 193,861.69 = 193,861.69 : x
  2. Step 2: Convert to fraction form
    137,662.03/193,861.69 = 193,861.69/x
  3. Step 3: Cross multiply
    137,662.03x = 193,861.69 × 193,861.69
  4. Step 4: Simplify right side
    137,662.03x = 37,582,353,880.35
  5. Step 5: Solve for x
    x = 37,582,353,880.35/137,662.03
  6. Step 6: Final answer
    x = 273,004.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.