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Finding the Third Proportional to 75,515.50 and 119,969.25

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Solution

The third proportional to 75,515.50 and 119,969.25 is: 190,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,515.50 : 119,969.25 = 119,969.25 : x
  2. Step 2: Convert to fraction form
    75,515.50/119,969.25 = 119,969.25/x
  3. Step 3: Cross multiply
    75,515.50x = 119,969.25 × 119,969.25
  4. Step 4: Simplify right side
    75,515.50x = 14,392,620,945.56
  5. Step 5: Solve for x
    x = 14,392,620,945.56/75,515.50
  6. Step 6: Final answer
    x = 190,591.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.