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Finding the Third Proportional to 82,159 and 126,861

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Solution

The third proportional to 82,159 and 126,861 is: 195,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159 : 126,861 = 126,861 : x
  2. Step 2: Convert to fraction form
    82,159/126,861 = 126,861/x
  3. Step 3: Cross multiply
    82,159x = 126,861 × 126,861
  4. Step 4: Simplify right side
    82,159x = 16,093,713,321
  5. Step 5: Solve for x
    x = 16,093,713,321/82,159
  6. Step 6: Final answer
    x = 195,884.97

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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.