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Finding the Third Proportional to 47,204 and 103,318

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Solution

The third proportional to 47,204 and 103,318 is: 226,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204 : 103,318 = 103,318 : x
  2. Step 2: Convert to fraction form
    47,204/103,318 = 103,318/x
  3. Step 3: Cross multiply
    47,204x = 103,318 × 103,318
  4. Step 4: Simplify right side
    47,204x = 10,674,609,124
  5. Step 5: Solve for x
    x = 10,674,609,124/47,204
  6. Step 6: Final answer
    x = 226,137.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.