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Finding the Third Proportional to 49,882.50 and 110,837.25

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Solution

The third proportional to 49,882.50 and 110,837.25 is: 246,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882.50 : 110,837.25 = 110,837.25 : x
  2. Step 2: Convert to fraction form
    49,882.50/110,837.25 = 110,837.25/x
  3. Step 3: Cross multiply
    49,882.50x = 110,837.25 × 110,837.25
  4. Step 4: Simplify right side
    49,882.50x = 12,284,895,987.56
  5. Step 5: Solve for x
    x = 12,284,895,987.56/49,882.50
  6. Step 6: Final answer
    x = 246,276.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.