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Finding the Third Proportional to 43,200 and 67,049

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Solution

The third proportional to 43,200 and 67,049 is: 104,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 67,049 = 67,049 : x
  2. Step 2: Convert to fraction form
    43,200/67,049 = 67,049/x
  3. Step 3: Cross multiply
    43,200x = 67,049 × 67,049
  4. Step 4: Simplify right side
    43,200x = 4,495,568,401
  5. Step 5: Solve for x
    x = 4,495,568,401/43,200
  6. Step 6: Final answer
    x = 104,064.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.