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Finding the Third Proportional to 39,186 and 87,092

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Solution

The third proportional to 39,186 and 87,092 is: 193,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 87,092 = 87,092 : x
  2. Step 2: Convert to fraction form
    39,186/87,092 = 87,092/x
  3. Step 3: Cross multiply
    39,186x = 87,092 × 87,092
  4. Step 4: Simplify right side
    39,186x = 7,585,016,464
  5. Step 5: Solve for x
    x = 7,585,016,464/39,186
  6. Step 6: Final answer
    x = 193,564.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.