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Finding the Third Proportional to 133,055 and 146,177

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Solution

The third proportional to 133,055 and 146,177 is: 160,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,055 : 146,177 = 146,177 : x
  2. Step 2: Convert to fraction form
    133,055/146,177 = 146,177/x
  3. Step 3: Cross multiply
    133,055x = 146,177 × 146,177
  4. Step 4: Simplify right side
    133,055x = 21,367,715,329
  5. Step 5: Solve for x
    x = 21,367,715,329/133,055
  6. Step 6: Final answer
    x = 160,593.10

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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.