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Finding the Third Proportional to 51,933 and 115,890

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Solution

The third proportional to 51,933 and 115,890 is: 258,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933 : 115,890 = 115,890 : x
  2. Step 2: Convert to fraction form
    51,933/115,890 = 115,890/x
  3. Step 3: Cross multiply
    51,933x = 115,890 × 115,890
  4. Step 4: Simplify right side
    51,933x = 13,430,492,100
  5. Step 5: Solve for x
    x = 13,430,492,100/51,933
  6. Step 6: Final answer
    x = 258,611.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.