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Finding the Third Proportional to 69,166 and 100,722

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Solution

The third proportional to 69,166 and 100,722 is: 146,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,166 : 100,722 = 100,722 : x
  2. Step 2: Convert to fraction form
    69,166/100,722 = 100,722/x
  3. Step 3: Cross multiply
    69,166x = 100,722 × 100,722
  4. Step 4: Simplify right side
    69,166x = 10,144,921,284
  5. Step 5: Solve for x
    x = 10,144,921,284/69,166
  6. Step 6: Final answer
    x = 146,674.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.