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Finding the Third Proportional to 129,619.50 and 196,239.75

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Solution

The third proportional to 129,619.50 and 196,239.75 is: 297,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,619.50 : 196,239.75 = 196,239.75 : x
  2. Step 2: Convert to fraction form
    129,619.50/196,239.75 = 196,239.75/x
  3. Step 3: Cross multiply
    129,619.50x = 196,239.75 × 196,239.75
  4. Step 4: Simplify right side
    129,619.50x = 38,510,039,480.06
  5. Step 5: Solve for x
    x = 38,510,039,480.06/129,619.50
  6. Step 6: Final answer
    x = 297,100.66

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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.