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Finding the Third Proportional to 49,212.56 and 72,781.03

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Solution

The third proportional to 49,212.56 and 72,781.03 is: 107,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,212.56 : 72,781.03 = 72,781.03 : x
  2. Step 2: Convert to fraction form
    49,212.56/72,781.03 = 72,781.03/x
  3. Step 3: Cross multiply
    49,212.56x = 72,781.03 × 72,781.03
  4. Step 4: Simplify right side
    49,212.56x = 5,297,078,509.81
  5. Step 5: Solve for x
    x = 5,297,078,509.81/49,212.56
  6. Step 6: Final answer
    x = 107,636.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.