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Finding the Third Proportional to 37,239.75 and 85,080.38

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Solution

The third proportional to 37,239.75 and 85,080.38 is: 194,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,239.75 : 85,080.38 = 85,080.38 : x
  2. Step 2: Convert to fraction form
    37,239.75/85,080.38 = 85,080.38/x
  3. Step 3: Cross multiply
    37,239.75x = 85,080.38 × 85,080.38
  4. Step 4: Simplify right side
    37,239.75x = 7,238,670,210.14
  5. Step 5: Solve for x
    x = 7,238,670,210.14/37,239.75
  6. Step 6: Final answer
    x = 194,380.20

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.