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Finding the Third Proportional to 47,763 and 102,570.75

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Solution

The third proportional to 47,763 and 102,570.75 is: 220,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763 : 102,570.75 = 102,570.75 : x
  2. Step 2: Convert to fraction form
    47,763/102,570.75 = 102,570.75/x
  3. Step 3: Cross multiply
    47,763x = 102,570.75 × 102,570.75
  4. Step 4: Simplify right side
    47,763x = 10,520,758,755.56
  5. Step 5: Solve for x
    x = 10,520,758,755.56/47,763
  6. Step 6: Final answer
    x = 220,270.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.