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Finding the Third Proportional to 67,176 and 100,413

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Solution

The third proportional to 67,176 and 100,413 is: 150,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,176 : 100,413 = 100,413 : x
  2. Step 2: Convert to fraction form
    67,176/100,413 = 100,413/x
  3. Step 3: Cross multiply
    67,176x = 100,413 × 100,413
  4. Step 4: Simplify right side
    67,176x = 10,082,770,569
  5. Step 5: Solve for x
    x = 10,082,770,569/67,176
  6. Step 6: Final answer
    x = 150,094.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.