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Finding the Third Proportional to 46,892 and 101,794

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Solution

The third proportional to 46,892 and 101,794 is: 220,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,892 : 101,794 = 101,794 : x
  2. Step 2: Convert to fraction form
    46,892/101,794 = 101,794/x
  3. Step 3: Cross multiply
    46,892x = 101,794 × 101,794
  4. Step 4: Simplify right side
    46,892x = 10,362,018,436
  5. Step 5: Solve for x
    x = 10,362,018,436/46,892
  6. Step 6: Final answer
    x = 220,976.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.