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Finding the Third Proportional to 79,965 and 169,770.38

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Solution

The third proportional to 79,965 and 169,770.38 is: 360,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,965 : 169,770.38 = 169,770.38 : x
  2. Step 2: Convert to fraction form
    79,965/169,770.38 = 169,770.38/x
  3. Step 3: Cross multiply
    79,965x = 169,770.38 × 169,770.38
  4. Step 4: Simplify right side
    79,965x = 28,821,980,227.64
  5. Step 5: Solve for x
    x = 28,821,980,227.64/79,965
  6. Step 6: Final answer
    x = 360,432.44

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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.