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Finding the Third Proportional to 100,948 and 146,722

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Solution

The third proportional to 100,948 and 146,722 is: 213,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948 : 146,722 = 146,722 : x
  2. Step 2: Convert to fraction form
    100,948/146,722 = 146,722/x
  3. Step 3: Cross multiply
    100,948x = 146,722 × 146,722
  4. Step 4: Simplify right side
    100,948x = 21,527,345,284
  5. Step 5: Solve for x
    x = 21,527,345,284/100,948
  6. Step 6: Final answer
    x = 213,251.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.