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Finding the Third Proportional to 80,892 and 122,470

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Solution

The third proportional to 80,892 and 122,470 is: 185,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,892 : 122,470 = 122,470 : x
  2. Step 2: Convert to fraction form
    80,892/122,470 = 122,470/x
  3. Step 3: Cross multiply
    80,892x = 122,470 × 122,470
  4. Step 4: Simplify right side
    80,892x = 14,998,900,900
  5. Step 5: Solve for x
    x = 14,998,900,900/80,892
  6. Step 6: Final answer
    x = 185,418.84

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