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Finding the Third Proportional to 47,538 and 104,148

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Solution

The third proportional to 47,538 and 104,148 is: 228,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 104,148 = 104,148 : x
  2. Step 2: Convert to fraction form
    47,538/104,148 = 104,148/x
  3. Step 3: Cross multiply
    47,538x = 104,148 × 104,148
  4. Step 4: Simplify right side
    47,538x = 10,846,805,904
  5. Step 5: Solve for x
    x = 10,846,805,904/47,538
  6. Step 6: Final answer
    x = 228,171.27

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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.