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Finding the Third Proportional to 39,626 and 86,080

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Solution

The third proportional to 39,626 and 86,080 is: 186,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,626 : 86,080 = 86,080 : x
  2. Step 2: Convert to fraction form
    39,626/86,080 = 86,080/x
  3. Step 3: Cross multiply
    39,626x = 86,080 × 86,080
  4. Step 4: Simplify right side
    39,626x = 7,409,766,400
  5. Step 5: Solve for x
    x = 7,409,766,400/39,626
  6. Step 6: Final answer
    x = 186,992.54

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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.