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Finding the Third Proportional to 46,763 and 103,366

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Solution

The third proportional to 46,763 and 103,366 is: 228,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,763 : 103,366 = 103,366 : x
  2. Step 2: Convert to fraction form
    46,763/103,366 = 103,366/x
  3. Step 3: Cross multiply
    46,763x = 103,366 × 103,366
  4. Step 4: Simplify right side
    46,763x = 10,684,529,956
  5. Step 5: Solve for x
    x = 10,684,529,956/46,763
  6. Step 6: Final answer
    x = 228,482.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.