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Finding the Third Proportional to 67,117 and 100,669

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Solution

The third proportional to 67,117 and 100,669 is: 150,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,117 : 100,669 = 100,669 : x
  2. Step 2: Convert to fraction form
    67,117/100,669 = 100,669/x
  3. Step 3: Cross multiply
    67,117x = 100,669 × 100,669
  4. Step 4: Simplify right side
    67,117x = 10,134,247,561
  5. Step 5: Solve for x
    x = 10,134,247,561/67,117
  6. Step 6: Final answer
    x = 150,993.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.