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Finding the Third Proportional to 82,836.75 and 127,512.75

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Solution

The third proportional to 82,836.75 and 127,512.75 is: 196,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836.75 : 127,512.75 = 127,512.75 : x
  2. Step 2: Convert to fraction form
    82,836.75/127,512.75 = 127,512.75/x
  3. Step 3: Cross multiply
    82,836.75x = 127,512.75 × 127,512.75
  4. Step 4: Simplify right side
    82,836.75x = 16,259,501,412.56
  5. Step 5: Solve for x
    x = 16,259,501,412.56/82,836.75
  6. Step 6: Final answer
    x = 196,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.