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Finding the Third Proportional to 80,018 and 169,900

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Solution

The third proportional to 80,018 and 169,900 is: 360,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,018 : 169,900 = 169,900 : x
  2. Step 2: Convert to fraction form
    80,018/169,900 = 169,900/x
  3. Step 3: Cross multiply
    80,018x = 169,900 × 169,900
  4. Step 4: Simplify right side
    80,018x = 28,866,010,000
  5. Step 5: Solve for x
    x = 28,866,010,000/80,018
  6. Step 6: Final answer
    x = 360,743.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.