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Finding the Third Proportional to 39,666 and 86,244

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Solution

The third proportional to 39,666 and 86,244 is: 187,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,666 : 86,244 = 86,244 : x
  2. Step 2: Convert to fraction form
    39,666/86,244 = 86,244/x
  3. Step 3: Cross multiply
    39,666x = 86,244 × 86,244
  4. Step 4: Simplify right side
    39,666x = 7,438,027,536
  5. Step 5: Solve for x
    x = 7,438,027,536/39,666
  6. Step 6: Final answer
    x = 187,516.45

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Why These Related Problems?

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