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Finding the Third Proportional to 51,236 and 124,006

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Solution

The third proportional to 51,236 and 124,006 is: 300,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236 : 124,006 = 124,006 : x
  2. Step 2: Convert to fraction form
    51,236/124,006 = 124,006/x
  3. Step 3: Cross multiply
    51,236x = 124,006 × 124,006
  4. Step 4: Simplify right side
    51,236x = 15,377,488,036
  5. Step 5: Solve for x
    x = 15,377,488,036/51,236
  6. Step 6: Final answer
    x = 300,130.53

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.