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Finding the Third Proportional to 46,729.25 and 102,800

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Solution

The third proportional to 46,729.25 and 102,800 is: 226,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729.25 : 102,800 = 102,800 : x
  2. Step 2: Convert to fraction form
    46,729.25/102,800 = 102,800/x
  3. Step 3: Cross multiply
    46,729.25x = 102,800 × 102,800
  4. Step 4: Simplify right side
    46,729.25x = 10,567,840,000
  5. Step 5: Solve for x
    x = 10,567,840,000/46,729.25
  6. Step 6: Final answer
    x = 226,150.43

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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.