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Finding the Third Proportional to 51,269 and 109,828

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Solution

The third proportional to 51,269 and 109,828 is: 235,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,269 : 109,828 = 109,828 : x
  2. Step 2: Convert to fraction form
    51,269/109,828 = 109,828/x
  3. Step 3: Cross multiply
    51,269x = 109,828 × 109,828
  4. Step 4: Simplify right side
    51,269x = 12,062,189,584
  5. Step 5: Solve for x
    x = 12,062,189,584/51,269
  6. Step 6: Final answer
    x = 235,272.57

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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.