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Finding the Third Proportional to 133,539 and 203,676.75

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Solution

The third proportional to 133,539 and 203,676.75 is: 310,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,539 : 203,676.75 = 203,676.75 : x
  2. Step 2: Convert to fraction form
    133,539/203,676.75 = 203,676.75/x
  3. Step 3: Cross multiply
    133,539x = 203,676.75 × 203,676.75
  4. Step 4: Simplify right side
    133,539x = 41,484,218,490.56
  5. Step 5: Solve for x
    x = 41,484,218,490.56/133,539
  6. Step 6: Final answer
    x = 310,652.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.