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Finding the Third Proportional to 56,722.22 and 123,760.13

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Solution

The third proportional to 56,722.22 and 123,760.13 is: 270,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,722.22 : 123,760.13 = 123,760.13 : x
  2. Step 2: Convert to fraction form
    56,722.22/123,760.13 = 123,760.13/x
  3. Step 3: Cross multiply
    56,722.22x = 123,760.13 × 123,760.13
  4. Step 4: Simplify right side
    56,722.22x = 15,316,568,540.02
  5. Step 5: Solve for x
    x = 15,316,568,540.02/56,722.22
  6. Step 6: Final answer
    x = 270,027.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.