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Finding the Third Proportional to 133,837 and 201,890

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Solution

The third proportional to 133,837 and 201,890 is: 304,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,837 : 201,890 = 201,890 : x
  2. Step 2: Convert to fraction form
    133,837/201,890 = 201,890/x
  3. Step 3: Cross multiply
    133,837x = 201,890 × 201,890
  4. Step 4: Simplify right side
    133,837x = 40,759,572,100
  5. Step 5: Solve for x
    x = 40,759,572,100/133,837
  6. Step 6: Final answer
    x = 304,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.