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Finding the Third Proportional to 71,982.84 and 168,161.06

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Solution

The third proportional to 71,982.84 and 168,161.06 is: 392,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.84 : 168,161.06 = 168,161.06 : x
  2. Step 2: Convert to fraction form
    71,982.84/168,161.06 = 168,161.06/x
  3. Step 3: Cross multiply
    71,982.84x = 168,161.06 × 168,161.06
  4. Step 4: Simplify right side
    71,982.84x = 28,278,142,941.13
  5. Step 5: Solve for x
    x = 28,278,142,941.13/71,982.84
  6. Step 6: Final answer
    x = 392,845.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.