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Finding the Third Proportional to 47,110 and 69,800

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Solution

The third proportional to 47,110 and 69,800 is: 103,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110 : 69,800 = 69,800 : x
  2. Step 2: Convert to fraction form
    47,110/69,800 = 69,800/x
  3. Step 3: Cross multiply
    47,110x = 69,800 × 69,800
  4. Step 4: Simplify right side
    47,110x = 4,872,040,000
  5. Step 5: Solve for x
    x = 4,872,040,000/47,110
  6. Step 6: Final answer
    x = 103,418.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.