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Finding the Third Proportional to 72,668 and 160,006

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Solution

The third proportional to 72,668 and 160,006 is: 352,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,668 : 160,006 = 160,006 : x
  2. Step 2: Convert to fraction form
    72,668/160,006 = 160,006/x
  3. Step 3: Cross multiply
    72,668x = 160,006 × 160,006
  4. Step 4: Simplify right side
    72,668x = 25,601,920,036
  5. Step 5: Solve for x
    x = 25,601,920,036/72,668
  6. Step 6: Final answer
    x = 352,313.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.