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Finding the Third Proportional to 80,943 and 165,894

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Solution

The third proportional to 80,943 and 165,894 is: 340,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,943 : 165,894 = 165,894 : x
  2. Step 2: Convert to fraction form
    80,943/165,894 = 165,894/x
  3. Step 3: Cross multiply
    80,943x = 165,894 × 165,894
  4. Step 4: Simplify right side
    80,943x = 27,520,819,236
  5. Step 5: Solve for x
    x = 27,520,819,236/80,943
  6. Step 6: Final answer
    x = 340,002.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.