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Finding the Third Proportional to 67,476 and 100,848

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Solution

The third proportional to 67,476 and 100,848 is: 150,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,476 : 100,848 = 100,848 : x
  2. Step 2: Convert to fraction form
    67,476/100,848 = 100,848/x
  3. Step 3: Cross multiply
    67,476x = 100,848 × 100,848
  4. Step 4: Simplify right side
    67,476x = 10,170,319,104
  5. Step 5: Solve for x
    x = 10,170,319,104/67,476
  6. Step 6: Final answer
    x = 150,724.99

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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.