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Finding the Third Proportional to 46,745.50 and 102,840

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Solution

The third proportional to 46,745.50 and 102,840 is: 226,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,745.50 : 102,840 = 102,840 : x
  2. Step 2: Convert to fraction form
    46,745.50/102,840 = 102,840/x
  3. Step 3: Cross multiply
    46,745.50x = 102,840 × 102,840
  4. Step 4: Simplify right side
    46,745.50x = 10,576,065,600
  5. Step 5: Solve for x
    x = 10,576,065,600/46,745.50
  6. Step 6: Final answer
    x = 226,247.78

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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.