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Finding the Third Proportional to 82,224 and 176,112

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Solution

The third proportional to 82,224 and 176,112 is: 377,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224 : 176,112 = 176,112 : x
  2. Step 2: Convert to fraction form
    82,224/176,112 = 176,112/x
  3. Step 3: Cross multiply
    82,224x = 176,112 × 176,112
  4. Step 4: Simplify right side
    82,224x = 31,015,436,544
  5. Step 5: Solve for x
    x = 31,015,436,544/82,224
  6. Step 6: Final answer
    x = 377,206.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.