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Finding the Third Proportional to 72,723 and 111,741

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Solution

The third proportional to 72,723 and 111,741 is: 171,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,723 : 111,741 = 111,741 : x
  2. Step 2: Convert to fraction form
    72,723/111,741 = 111,741/x
  3. Step 3: Cross multiply
    72,723x = 111,741 × 111,741
  4. Step 4: Simplify right side
    72,723x = 12,486,051,081
  5. Step 5: Solve for x
    x = 12,486,051,081/72,723
  6. Step 6: Final answer
    x = 171,693.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.