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Finding the Third Proportional to 47,103 and 103,683

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Solution

The third proportional to 47,103 and 103,683 is: 228,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103 : 103,683 = 103,683 : x
  2. Step 2: Convert to fraction form
    47,103/103,683 = 103,683/x
  3. Step 3: Cross multiply
    47,103x = 103,683 × 103,683
  4. Step 4: Simplify right side
    47,103x = 10,750,164,489
  5. Step 5: Solve for x
    x = 10,750,164,489/47,103
  6. Step 6: Final answer
    x = 228,226.75

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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.