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Finding the Third Proportional to 75,892 and 163,016

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Solution

The third proportional to 75,892 and 163,016 is: 350,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892 : 163,016 = 163,016 : x
  2. Step 2: Convert to fraction form
    75,892/163,016 = 163,016/x
  3. Step 3: Cross multiply
    75,892x = 163,016 × 163,016
  4. Step 4: Simplify right side
    75,892x = 26,574,216,256
  5. Step 5: Solve for x
    x = 26,574,216,256/75,892
  6. Step 6: Final answer
    x = 350,158.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.