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Finding the Third Proportional to 51,134 and 114,172

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Solution

The third proportional to 51,134 and 114,172 is: 254,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134 : 114,172 = 114,172 : x
  2. Step 2: Convert to fraction form
    51,134/114,172 = 114,172/x
  3. Step 3: Cross multiply
    51,134x = 114,172 × 114,172
  4. Step 4: Simplify right side
    51,134x = 13,035,245,584
  5. Step 5: Solve for x
    x = 13,035,245,584/51,134
  6. Step 6: Final answer
    x = 254,923.25

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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.