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Finding the Third Proportional to 133,039.50 and 199,035

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Solution

The third proportional to 133,039.50 and 199,035 is: 297,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039.50 : 199,035 = 199,035 : x
  2. Step 2: Convert to fraction form
    133,039.50/199,035 = 199,035/x
  3. Step 3: Cross multiply
    133,039.50x = 199,035 × 199,035
  4. Step 4: Simplify right side
    133,039.50x = 39,614,931,225
  5. Step 5: Solve for x
    x = 39,614,931,225/133,039.50
  6. Step 6: Final answer
    x = 297,768.19

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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.