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Finding the Third Proportional to 47,854 and 104,318

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Solution

The third proportional to 47,854 and 104,318 is: 227,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854 : 104,318 = 104,318 : x
  2. Step 2: Convert to fraction form
    47,854/104,318 = 104,318/x
  3. Step 3: Cross multiply
    47,854x = 104,318 × 104,318
  4. Step 4: Simplify right side
    47,854x = 10,882,245,124
  5. Step 5: Solve for x
    x = 10,882,245,124/47,854
  6. Step 6: Final answer
    x = 227,405.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.