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Finding the Third Proportional to 39,474 and 86,724

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Solution

The third proportional to 39,474 and 86,724 is: 190,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 86,724 = 86,724 : x
  2. Step 2: Convert to fraction form
    39,474/86,724 = 86,724/x
  3. Step 3: Cross multiply
    39,474x = 86,724 × 86,724
  4. Step 4: Simplify right side
    39,474x = 7,521,052,176
  5. Step 5: Solve for x
    x = 7,521,052,176/39,474
  6. Step 6: Final answer
    x = 190,531.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.