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Finding the Third Proportional to 81,823.50 and 111,071.25

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Solution

The third proportional to 81,823.50 and 111,071.25 is: 150,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,823.50 : 111,071.25 = 111,071.25 : x
  2. Step 2: Convert to fraction form
    81,823.50/111,071.25 = 111,071.25/x
  3. Step 3: Cross multiply
    81,823.50x = 111,071.25 × 111,071.25
  4. Step 4: Simplify right side
    81,823.50x = 12,336,822,576.56
  5. Step 5: Solve for x
    x = 12,336,822,576.56/81,823.50
  6. Step 6: Final answer
    x = 150,773.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.