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Finding the Third Proportional to 128,706.75 and 194,722.75

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Solution

The third proportional to 128,706.75 and 194,722.75 is: 294,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,706.75 : 194,722.75 = 194,722.75 : x
  2. Step 2: Convert to fraction form
    128,706.75/194,722.75 = 194,722.75/x
  3. Step 3: Cross multiply
    128,706.75x = 194,722.75 × 194,722.75
  4. Step 4: Simplify right side
    128,706.75x = 37,916,949,367.56
  5. Step 5: Solve for x
    x = 37,916,949,367.56/128,706.75
  6. Step 6: Final answer
    x = 294,599.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.