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Finding the Third Proportional to 39,014 and 92,042

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Solution

The third proportional to 39,014 and 92,042 is: 217,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,014 : 92,042 = 92,042 : x
  2. Step 2: Convert to fraction form
    39,014/92,042 = 92,042/x
  3. Step 3: Cross multiply
    39,014x = 92,042 × 92,042
  4. Step 4: Simplify right side
    39,014x = 8,471,729,764
  5. Step 5: Solve for x
    x = 8,471,729,764/39,014
  6. Step 6: Final answer
    x = 217,145.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.