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Finding the Third Proportional to 56,308 and 123,794

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Solution

The third proportional to 56,308 and 123,794 is: 272,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,308 : 123,794 = 123,794 : x
  2. Step 2: Convert to fraction form
    56,308/123,794 = 123,794/x
  3. Step 3: Cross multiply
    56,308x = 123,794 × 123,794
  4. Step 4: Simplify right side
    56,308x = 15,324,954,436
  5. Step 5: Solve for x
    x = 15,324,954,436/56,308
  6. Step 6: Final answer
    x = 272,163.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.