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Finding the Third Proportional to 56,269.69 and 122,993.44

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Solution

The third proportional to 56,269.69 and 122,993.44 is: 268,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.69 : 122,993.44 = 122,993.44 : x
  2. Step 2: Convert to fraction form
    56,269.69/122,993.44 = 122,993.44/x
  3. Step 3: Cross multiply
    56,269.69x = 122,993.44 × 122,993.44
  4. Step 4: Simplify right side
    56,269.69x = 15,127,385,668.07
  5. Step 5: Solve for x
    x = 15,127,385,668.07/56,269.69
  6. Step 6: Final answer
    x = 268,837.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.