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Finding the Third Proportional to 72,668 and 111,112

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Solution

The third proportional to 72,668 and 111,112 is: 169,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,668 : 111,112 = 111,112 : x
  2. Step 2: Convert to fraction form
    72,668/111,112 = 111,112/x
  3. Step 3: Cross multiply
    72,668x = 111,112 × 111,112
  4. Step 4: Simplify right side
    72,668x = 12,345,876,544
  5. Step 5: Solve for x
    x = 12,345,876,544/72,668
  6. Step 6: Final answer
    x = 169,894.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.