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Finding the Third Proportional to 47,634 and 104,986

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Solution

The third proportional to 47,634 and 104,986 is: 231,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,634 : 104,986 = 104,986 : x
  2. Step 2: Convert to fraction form
    47,634/104,986 = 104,986/x
  3. Step 3: Cross multiply
    47,634x = 104,986 × 104,986
  4. Step 4: Simplify right side
    47,634x = 11,022,060,196
  5. Step 5: Solve for x
    x = 11,022,060,196/47,634
  6. Step 6: Final answer
    x = 231,390.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.