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Finding the Third Proportional to 56,495 and 122,827

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Solution

The third proportional to 56,495 and 122,827 is: 267,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,495 : 122,827 = 122,827 : x
  2. Step 2: Convert to fraction form
    56,495/122,827 = 122,827/x
  3. Step 3: Cross multiply
    56,495x = 122,827 × 122,827
  4. Step 4: Simplify right side
    56,495x = 15,086,471,929
  5. Step 5: Solve for x
    x = 15,086,471,929/56,495
  6. Step 6: Final answer
    x = 267,040.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.