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Finding the Third Proportional to 79,734 and 169,186

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Solution

The third proportional to 79,734 and 169,186 is: 358,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,734 : 169,186 = 169,186 : x
  2. Step 2: Convert to fraction form
    79,734/169,186 = 169,186/x
  3. Step 3: Cross multiply
    79,734x = 169,186 × 169,186
  4. Step 4: Simplify right side
    79,734x = 28,623,902,596
  5. Step 5: Solve for x
    x = 28,623,902,596/79,734
  6. Step 6: Final answer
    x = 358,992.43

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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.