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Finding the Third Proportional to 51,008.50 and 111,856

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Solution

The third proportional to 51,008.50 and 111,856 is: 245,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008.50 : 111,856 = 111,856 : x
  2. Step 2: Convert to fraction form
    51,008.50/111,856 = 111,856/x
  3. Step 3: Cross multiply
    51,008.50x = 111,856 × 111,856
  4. Step 4: Simplify right side
    51,008.50x = 12,511,764,736
  5. Step 5: Solve for x
    x = 12,511,764,736/51,008.50
  6. Step 6: Final answer
    x = 245,287.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.