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Finding the Third Proportional to 133,081 and 146,203

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Solution

The third proportional to 133,081 and 146,203 is: 160,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081 : 146,203 = 146,203 : x
  2. Step 2: Convert to fraction form
    133,081/146,203 = 146,203/x
  3. Step 3: Cross multiply
    133,081x = 146,203 × 146,203
  4. Step 4: Simplify right side
    133,081x = 21,375,317,209
  5. Step 5: Solve for x
    x = 21,375,317,209/133,081
  6. Step 6: Final answer
    x = 160,618.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.