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Finding the Third Proportional to 46,731 and 100,995

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Solution

The third proportional to 46,731 and 100,995 is: 218,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,731 : 100,995 = 100,995 : x
  2. Step 2: Convert to fraction form
    46,731/100,995 = 100,995/x
  3. Step 3: Cross multiply
    46,731x = 100,995 × 100,995
  4. Step 4: Simplify right side
    46,731x = 10,199,990,025
  5. Step 5: Solve for x
    x = 10,199,990,025/46,731
  6. Step 6: Final answer
    x = 218,270.31

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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.