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Finding the Third Proportional to 82,157.25 and 168,200.25

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Solution

The third proportional to 82,157.25 and 168,200.25 is: 344,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.25 : 168,200.25 = 168,200.25 : x
  2. Step 2: Convert to fraction form
    82,157.25/168,200.25 = 168,200.25/x
  3. Step 3: Cross multiply
    82,157.25x = 168,200.25 × 168,200.25
  4. Step 4: Simplify right side
    82,157.25x = 28,291,324,100.06
  5. Step 5: Solve for x
    x = 28,291,324,100.06/82,157.25
  6. Step 6: Final answer
    x = 344,355.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.