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Finding the Third Proportional to 45,825.75 and 85,105.69

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Solution

The third proportional to 45,825.75 and 85,105.69 is: 158,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825.75 : 85,105.69 = 85,105.69 : x
  2. Step 2: Convert to fraction form
    45,825.75/85,105.69 = 85,105.69/x
  3. Step 3: Cross multiply
    45,825.75x = 85,105.69 × 85,105.69
  4. Step 4: Simplify right side
    45,825.75x = 7,242,978,044.85
  5. Step 5: Solve for x
    x = 7,242,978,044.85/45,825.75
  6. Step 6: Final answer
    x = 158,054.76

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.