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Finding the Third Proportional to 47,452 and 100,760

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Solution

The third proportional to 47,452 and 100,760 is: 213,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,452 : 100,760 = 100,760 : x
  2. Step 2: Convert to fraction form
    47,452/100,760 = 100,760/x
  3. Step 3: Cross multiply
    47,452x = 100,760 × 100,760
  4. Step 4: Simplify right side
    47,452x = 10,152,577,600
  5. Step 5: Solve for x
    x = 10,152,577,600/47,452
  6. Step 6: Final answer
    x = 213,954.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.