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Finding the Third Proportional to 82,224 and 122,176

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Solution

The third proportional to 82,224 and 122,176 is: 181,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224 : 122,176 = 122,176 : x
  2. Step 2: Convert to fraction form
    82,224/122,176 = 122,176/x
  3. Step 3: Cross multiply
    82,224x = 122,176 × 122,176
  4. Step 4: Simplify right side
    82,224x = 14,926,974,976
  5. Step 5: Solve for x
    x = 14,926,974,976/82,224
  6. Step 6: Final answer
    x = 181,540.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.