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Finding the Third Proportional to 37,239.75 and 76,119.75

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Solution

The third proportional to 37,239.75 and 76,119.75 is: 155,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,239.75 : 76,119.75 = 76,119.75 : x
  2. Step 2: Convert to fraction form
    37,239.75/76,119.75 = 76,119.75/x
  3. Step 3: Cross multiply
    37,239.75x = 76,119.75 × 76,119.75
  4. Step 4: Simplify right side
    37,239.75x = 5,794,216,340.06
  5. Step 5: Solve for x
    x = 5,794,216,340.06/37,239.75
  6. Step 6: Final answer
    x = 155,592.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.