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Finding the Third Proportional to 72,674 and 111,121

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Solution

The third proportional to 72,674 and 111,121 is: 169,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,674 : 111,121 = 111,121 : x
  2. Step 2: Convert to fraction form
    72,674/111,121 = 111,121/x
  3. Step 3: Cross multiply
    72,674x = 111,121 × 111,121
  4. Step 4: Simplify right side
    72,674x = 12,347,876,641
  5. Step 5: Solve for x
    x = 12,347,876,641/72,674
  6. Step 6: Final answer
    x = 169,907.76

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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.