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Finding the Third Proportional to 39,809 and 87,002

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Solution

The third proportional to 39,809 and 87,002 is: 190,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,809 : 87,002 = 87,002 : x
  2. Step 2: Convert to fraction form
    39,809/87,002 = 87,002/x
  3. Step 3: Cross multiply
    39,809x = 87,002 × 87,002
  4. Step 4: Simplify right side
    39,809x = 7,569,348,004
  5. Step 5: Solve for x
    x = 7,569,348,004/39,809
  6. Step 6: Final answer
    x = 190,141.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.