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Finding the Third Proportional to 46,747.25 and 102,840.25

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Solution

The third proportional to 46,747.25 and 102,840.25 is: 226,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.25 : 102,840.25 = 102,840.25 : x
  2. Step 2: Convert to fraction form
    46,747.25/102,840.25 = 102,840.25/x
  3. Step 3: Cross multiply
    46,747.25x = 102,840.25 × 102,840.25
  4. Step 4: Simplify right side
    46,747.25x = 10,576,117,020.06
  5. Step 5: Solve for x
    x = 10,576,117,020.06/46,747.25
  6. Step 6: Final answer
    x = 226,240.41

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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.