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Finding the Third Proportional to 47,903 and 104,554

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Solution

The third proportional to 47,903 and 104,554 is: 228,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,903 : 104,554 = 104,554 : x
  2. Step 2: Convert to fraction form
    47,903/104,554 = 104,554/x
  3. Step 3: Cross multiply
    47,903x = 104,554 × 104,554
  4. Step 4: Simplify right side
    47,903x = 10,931,538,916
  5. Step 5: Solve for x
    x = 10,931,538,916/47,903
  6. Step 6: Final answer
    x = 228,201.55

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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.