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Finding the Third Proportional to 47,757 and 104,073

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Solution

The third proportional to 47,757 and 104,073 is: 226,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757 : 104,073 = 104,073 : x
  2. Step 2: Convert to fraction form
    47,757/104,073 = 104,073/x
  3. Step 3: Cross multiply
    47,757x = 104,073 × 104,073
  4. Step 4: Simplify right side
    47,757x = 10,831,189,329
  5. Step 5: Solve for x
    x = 10,831,189,329/47,757
  6. Step 6: Final answer
    x = 226,797.94

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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.