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Finding the Third Proportional to 82,194.75 and 126,754.88

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Solution

The third proportional to 82,194.75 and 126,754.88 is: 195,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.75 : 126,754.88 = 126,754.88 : x
  2. Step 2: Convert to fraction form
    82,194.75/126,754.88 = 126,754.88/x
  3. Step 3: Cross multiply
    82,194.75x = 126,754.88 × 126,754.88
  4. Step 4: Simplify right side
    82,194.75x = 16,066,798,336.27
  5. Step 5: Solve for x
    x = 16,066,798,336.27/82,194.75
  6. Step 6: Final answer
    x = 195,472.32

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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.