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Finding the Third Proportional to 46,749 and 102,845

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Solution

The third proportional to 46,749 and 102,845 is: 226,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,749 : 102,845 = 102,845 : x
  2. Step 2: Convert to fraction form
    46,749/102,845 = 102,845/x
  3. Step 3: Cross multiply
    46,749x = 102,845 × 102,845
  4. Step 4: Simplify right side
    46,749x = 10,577,094,025
  5. Step 5: Solve for x
    x = 10,577,094,025/46,749
  6. Step 6: Final answer
    x = 226,252.84

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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.