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Finding the Third Proportional to 82,694.25 and 127,811.25

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Solution

The third proportional to 82,694.25 and 127,811.25 is: 197,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,694.25 : 127,811.25 = 127,811.25 : x
  2. Step 2: Convert to fraction form
    82,694.25/127,811.25 = 127,811.25/x
  3. Step 3: Cross multiply
    82,694.25x = 127,811.25 × 127,811.25
  4. Step 4: Simplify right side
    82,694.25x = 16,335,715,626.56
  5. Step 5: Solve for x
    x = 16,335,715,626.56/82,694.25
  6. Step 6: Final answer
    x = 197,543.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.