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Finding the Third Proportional to 80,988 and 170,166

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Solution

The third proportional to 80,988 and 170,166 is: 357,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,988 : 170,166 = 170,166 : x
  2. Step 2: Convert to fraction form
    80,988/170,166 = 170,166/x
  3. Step 3: Cross multiply
    80,988x = 170,166 × 170,166
  4. Step 4: Simplify right side
    80,988x = 28,956,467,556
  5. Step 5: Solve for x
    x = 28,956,467,556/80,988
  6. Step 6: Final answer
    x = 357,540.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.