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Finding the Third Proportional to 47,634 and 103,734

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Solution

The third proportional to 47,634 and 103,734 is: 225,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,634 : 103,734 = 103,734 : x
  2. Step 2: Convert to fraction form
    47,634/103,734 = 103,734/x
  3. Step 3: Cross multiply
    47,634x = 103,734 × 103,734
  4. Step 4: Simplify right side
    47,634x = 10,760,742,756
  5. Step 5: Solve for x
    x = 10,760,742,756/47,634
  6. Step 6: Final answer
    x = 225,904.66

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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.