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Finding the Third Proportional to 36,223 and 76,806.50

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Solution

The third proportional to 36,223 and 76,806.50 is: 162,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223 : 76,806.50 = 76,806.50 : x
  2. Step 2: Convert to fraction form
    36,223/76,806.50 = 76,806.50/x
  3. Step 3: Cross multiply
    36,223x = 76,806.50 × 76,806.50
  4. Step 4: Simplify right side
    36,223x = 5,899,238,442.25
  5. Step 5: Solve for x
    x = 5,899,238,442.25/36,223
  6. Step 6: Final answer
    x = 162,858.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.