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Finding the Third Proportional to 117,696.75 and 151,120.50

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Solution

The third proportional to 117,696.75 and 151,120.50 is: 194,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696.75 : 151,120.50 = 151,120.50 : x
  2. Step 2: Convert to fraction form
    117,696.75/151,120.50 = 151,120.50/x
  3. Step 3: Cross multiply
    117,696.75x = 151,120.50 × 151,120.50
  4. Step 4: Simplify right side
    117,696.75x = 22,837,405,520.25
  5. Step 5: Solve for x
    x = 22,837,405,520.25/117,696.75
  6. Step 6: Final answer
    x = 194,035.99

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.