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Finding the Third Proportional to 47,950 and 104,550

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Solution

The third proportional to 47,950 and 104,550 is: 227,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,950 : 104,550 = 104,550 : x
  2. Step 2: Convert to fraction form
    47,950/104,550 = 104,550/x
  3. Step 3: Cross multiply
    47,950x = 104,550 × 104,550
  4. Step 4: Simplify right side
    47,950x = 10,930,702,500
  5. Step 5: Solve for x
    x = 10,930,702,500/47,950
  6. Step 6: Final answer
    x = 227,960.43

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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.