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Finding the Third Proportional to 48,277 and 103,898

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Solution

The third proportional to 48,277 and 103,898 is: 223,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,277 : 103,898 = 103,898 : x
  2. Step 2: Convert to fraction form
    48,277/103,898 = 103,898/x
  3. Step 3: Cross multiply
    48,277x = 103,898 × 103,898
  4. Step 4: Simplify right side
    48,277x = 10,794,794,404
  5. Step 5: Solve for x
    x = 10,794,794,404/48,277
  6. Step 6: Final answer
    x = 223,601.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.