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Finding the Third Proportional to 69,524 and 111,936

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Solution

The third proportional to 69,524 and 111,936 is: 180,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,524 : 111,936 = 111,936 : x
  2. Step 2: Convert to fraction form
    69,524/111,936 = 111,936/x
  3. Step 3: Cross multiply
    69,524x = 111,936 × 111,936
  4. Step 4: Simplify right side
    69,524x = 12,529,668,096
  5. Step 5: Solve for x
    x = 12,529,668,096/69,524
  6. Step 6: Final answer
    x = 180,220.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.