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Finding the Third Proportional to 39,496 and 86,996

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Solution

The third proportional to 39,496 and 86,996 is: 191,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496 : 86,996 = 86,996 : x
  2. Step 2: Convert to fraction form
    39,496/86,996 = 86,996/x
  3. Step 3: Cross multiply
    39,496x = 86,996 × 86,996
  4. Step 4: Simplify right side
    39,496x = 7,568,304,016
  5. Step 5: Solve for x
    x = 7,568,304,016/39,496
  6. Step 6: Final answer
    x = 191,622.04

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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.