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Finding the Third Proportional to 47,781 and 104,310

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Solution

The third proportional to 47,781 and 104,310 is: 227,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781 : 104,310 = 104,310 : x
  2. Step 2: Convert to fraction form
    47,781/104,310 = 104,310/x
  3. Step 3: Cross multiply
    47,781x = 104,310 × 104,310
  4. Step 4: Simplify right side
    47,781x = 10,880,576,100
  5. Step 5: Solve for x
    x = 10,880,576,100/47,781
  6. Step 6: Final answer
    x = 227,717.63

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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.