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Finding the Third Proportional to 23,172 and 55,986

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Solution

The third proportional to 23,172 and 55,986 is: 135,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172 : 55,986 = 55,986 : x
  2. Step 2: Convert to fraction form
    23,172/55,986 = 55,986/x
  3. Step 3: Cross multiply
    23,172x = 55,986 × 55,986
  4. Step 4: Simplify right side
    23,172x = 3,134,432,196
  5. Step 5: Solve for x
    x = 3,134,432,196/23,172
  6. Step 6: Final answer
    x = 135,268.09

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.