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Finding the Third Proportional to 51,177 and 110,130

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Solution

The third proportional to 51,177 and 110,130 is: 236,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177 : 110,130 = 110,130 : x
  2. Step 2: Convert to fraction form
    51,177/110,130 = 110,130/x
  3. Step 3: Cross multiply
    51,177x = 110,130 × 110,130
  4. Step 4: Simplify right side
    51,177x = 12,128,616,900
  5. Step 5: Solve for x
    x = 12,128,616,900/51,177
  6. Step 6: Final answer
    x = 236,993.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.