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Finding the Third Proportional to 133,533 and 203,667.75

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Solution

The third proportional to 133,533 and 203,667.75 is: 310,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,533 : 203,667.75 = 203,667.75 : x
  2. Step 2: Convert to fraction form
    133,533/203,667.75 = 203,667.75/x
  3. Step 3: Cross multiply
    133,533x = 203,667.75 × 203,667.75
  4. Step 4: Simplify right side
    133,533x = 41,480,552,390.06
  5. Step 5: Solve for x
    x = 41,480,552,390.06/133,533
  6. Step 6: Final answer
    x = 310,638.96

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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.