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Finding the Third Proportional to 47,994 and 76,676

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Solution

The third proportional to 47,994 and 76,676 is: 122,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,994 : 76,676 = 76,676 : x
  2. Step 2: Convert to fraction form
    47,994/76,676 = 76,676/x
  3. Step 3: Cross multiply
    47,994x = 76,676 × 76,676
  4. Step 4: Simplify right side
    47,994x = 5,879,208,976
  5. Step 5: Solve for x
    x = 5,879,208,976/47,994
  6. Step 6: Final answer
    x = 122,498.83

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.