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Finding the Third Proportional to 30,219 and 66,701

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Solution

The third proportional to 30,219 and 66,701 is: 147,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219 : 66,701 = 66,701 : x
  2. Step 2: Convert to fraction form
    30,219/66,701 = 66,701/x
  3. Step 3: Cross multiply
    30,219x = 66,701 × 66,701
  4. Step 4: Simplify right side
    30,219x = 4,449,023,401
  5. Step 5: Solve for x
    x = 4,449,023,401/30,219
  6. Step 6: Final answer
    x = 147,226.03

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.