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Finding the Third Proportional to 80,965 and 122,577

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Solution

The third proportional to 80,965 and 122,577 is: 185,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965 : 122,577 = 122,577 : x
  2. Step 2: Convert to fraction form
    80,965/122,577 = 122,577/x
  3. Step 3: Cross multiply
    80,965x = 122,577 × 122,577
  4. Step 4: Simplify right side
    80,965x = 15,025,120,929
  5. Step 5: Solve for x
    x = 15,025,120,929/80,965
  6. Step 6: Final answer
    x = 185,575.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.