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Finding the Third Proportional to 133,041 and 146,163

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Solution

The third proportional to 133,041 and 146,163 is: 160,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 146,163 = 146,163 : x
  2. Step 2: Convert to fraction form
    133,041/146,163 = 146,163/x
  3. Step 3: Cross multiply
    133,041x = 146,163 × 146,163
  4. Step 4: Simplify right side
    133,041x = 21,363,622,569
  5. Step 5: Solve for x
    x = 21,363,622,569/133,041
  6. Step 6: Final answer
    x = 160,579.24

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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.