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Finding the Third Proportional to 77,613.75 and 116,874

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Solution

The third proportional to 77,613.75 and 116,874 is: 175,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,613.75 : 116,874 = 116,874 : x
  2. Step 2: Convert to fraction form
    77,613.75/116,874 = 116,874/x
  3. Step 3: Cross multiply
    77,613.75x = 116,874 × 116,874
  4. Step 4: Simplify right side
    77,613.75x = 13,659,531,876
  5. Step 5: Solve for x
    x = 13,659,531,876/77,613.75
  6. Step 6: Final answer
    x = 175,993.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.