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Finding the Third Proportional to 51,081 and 109,269

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Solution

The third proportional to 51,081 and 109,269 is: 233,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,081 : 109,269 = 109,269 : x
  2. Step 2: Convert to fraction form
    51,081/109,269 = 109,269/x
  3. Step 3: Cross multiply
    51,081x = 109,269 × 109,269
  4. Step 4: Simplify right side
    51,081x = 11,939,714,361
  5. Step 5: Solve for x
    x = 11,939,714,361/51,081
  6. Step 6: Final answer
    x = 233,740.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.