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Finding the Third Proportional to 35,786.25 and 76,189.50

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Solution

The third proportional to 35,786.25 and 76,189.50 is: 162,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786.25 : 76,189.50 = 76,189.50 : x
  2. Step 2: Convert to fraction form
    35,786.25/76,189.50 = 76,189.50/x
  3. Step 3: Cross multiply
    35,786.25x = 76,189.50 × 76,189.50
  4. Step 4: Simplify right side
    35,786.25x = 5,804,839,910.25
  5. Step 5: Solve for x
    x = 5,804,839,910.25/35,786.25
  6. Step 6: Final answer
    x = 162,208.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.