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Finding the Third Proportional to 133,041 and 199,037

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Solution

The third proportional to 133,041 and 199,037 is: 297,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 199,037 = 199,037 : x
  2. Step 2: Convert to fraction form
    133,041/199,037 = 199,037/x
  3. Step 3: Cross multiply
    133,041x = 199,037 × 199,037
  4. Step 4: Simplify right side
    133,041x = 39,615,727,369
  5. Step 5: Solve for x
    x = 39,615,727,369/133,041
  6. Step 6: Final answer
    x = 297,770.82

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Why These Related Problems?

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