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Finding the Third Proportional to 51,182 and 111,103

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Solution

The third proportional to 51,182 and 111,103 is: 241,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,182 : 111,103 = 111,103 : x
  2. Step 2: Convert to fraction form
    51,182/111,103 = 111,103/x
  3. Step 3: Cross multiply
    51,182x = 111,103 × 111,103
  4. Step 4: Simplify right side
    51,182x = 12,343,876,609
  5. Step 5: Solve for x
    x = 12,343,876,609/51,182
  6. Step 6: Final answer
    x = 241,176.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.