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Finding the Third Proportional to 40,842 and 83,411

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Solution

The third proportional to 40,842 and 83,411 is: 170,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842 : 83,411 = 83,411 : x
  2. Step 2: Convert to fraction form
    40,842/83,411 = 83,411/x
  3. Step 3: Cross multiply
    40,842x = 83,411 × 83,411
  4. Step 4: Simplify right side
    40,842x = 6,957,394,921
  5. Step 5: Solve for x
    x = 6,957,394,921/40,842
  6. Step 6: Final answer
    x = 170,349.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.