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Finding the Third Proportional to 80,181 and 126,955.25

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Solution

The third proportional to 80,181 and 126,955.25 is: 201,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,181 : 126,955.25 = 126,955.25 : x
  2. Step 2: Convert to fraction form
    80,181/126,955.25 = 126,955.25/x
  3. Step 3: Cross multiply
    80,181x = 126,955.25 × 126,955.25
  4. Step 4: Simplify right side
    80,181x = 16,117,635,502.56
  5. Step 5: Solve for x
    x = 16,117,635,502.56/80,181
  6. Step 6: Final answer
    x = 201,015.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.