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Finding the Third Proportional to 51,180 and 110,133

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Solution

The third proportional to 51,180 and 110,133 is: 236,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,180 : 110,133 = 110,133 : x
  2. Step 2: Convert to fraction form
    51,180/110,133 = 110,133/x
  3. Step 3: Cross multiply
    51,180x = 110,133 × 110,133
  4. Step 4: Simplify right side
    51,180x = 12,129,277,689
  5. Step 5: Solve for x
    x = 12,129,277,689/51,180
  6. Step 6: Final answer
    x = 236,992.53

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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.