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Finding the Third Proportional to 39,204 and 86,076

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Solution

The third proportional to 39,204 and 86,076 is: 188,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 86,076 = 86,076 : x
  2. Step 2: Convert to fraction form
    39,204/86,076 = 86,076/x
  3. Step 3: Cross multiply
    39,204x = 86,076 × 86,076
  4. Step 4: Simplify right side
    39,204x = 7,409,077,776
  5. Step 5: Solve for x
    x = 7,409,077,776/39,204
  6. Step 6: Final answer
    x = 188,987.80

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