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Finding the Third Proportional to 70,994 and 100,911

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Solution

The third proportional to 70,994 and 100,911 is: 143,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994 : 100,911 = 100,911 : x
  2. Step 2: Convert to fraction form
    70,994/100,911 = 100,911/x
  3. Step 3: Cross multiply
    70,994x = 100,911 × 100,911
  4. Step 4: Simplify right side
    70,994x = 10,183,029,921
  5. Step 5: Solve for x
    x = 10,183,029,921/70,994
  6. Step 6: Final answer
    x = 143,435.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.