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Finding the Third Proportional to 78,577 and 169,601

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Solution

The third proportional to 78,577 and 169,601 is: 366,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,577 : 169,601 = 169,601 : x
  2. Step 2: Convert to fraction form
    78,577/169,601 = 169,601/x
  3. Step 3: Cross multiply
    78,577x = 169,601 × 169,601
  4. Step 4: Simplify right side
    78,577x = 28,764,499,201
  5. Step 5: Solve for x
    x = 28,764,499,201/78,577
  6. Step 6: Final answer
    x = 366,067.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.