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Finding the Third Proportional to 39,340 and 86,456

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Solution

The third proportional to 39,340 and 86,456 is: 190,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,340 : 86,456 = 86,456 : x
  2. Step 2: Convert to fraction form
    39,340/86,456 = 86,456/x
  3. Step 3: Cross multiply
    39,340x = 86,456 × 86,456
  4. Step 4: Simplify right side
    39,340x = 7,474,639,936
  5. Step 5: Solve for x
    x = 7,474,639,936/39,340
  6. Step 6: Final answer
    x = 190,001.02

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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.