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Finding the Third Proportional to 34,066 and 54,171

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Solution

The third proportional to 34,066 and 54,171 is: 86,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066 : 54,171 = 54,171 : x
  2. Step 2: Convert to fraction form
    34,066/54,171 = 54,171/x
  3. Step 3: Cross multiply
    34,066x = 54,171 × 54,171
  4. Step 4: Simplify right side
    34,066x = 2,934,497,241
  5. Step 5: Solve for x
    x = 2,934,497,241/34,066
  6. Step 6: Final answer
    x = 86,141.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.