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Finding the Third Proportional to 141,039 and 203,791

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Solution

The third proportional to 141,039 and 203,791 is: 294,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,039 : 203,791 = 203,791 : x
  2. Step 2: Convert to fraction form
    141,039/203,791 = 203,791/x
  3. Step 3: Cross multiply
    141,039x = 203,791 × 203,791
  4. Step 4: Simplify right side
    141,039x = 41,530,771,681
  5. Step 5: Solve for x
    x = 41,530,771,681/141,039
  6. Step 6: Final answer
    x = 294,463.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.