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Finding the Third Proportional to 51,491 and 112,823

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Solution

The third proportional to 51,491 and 112,823 is: 247,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,491 : 112,823 = 112,823 : x
  2. Step 2: Convert to fraction form
    51,491/112,823 = 112,823/x
  3. Step 3: Cross multiply
    51,491x = 112,823 × 112,823
  4. Step 4: Simplify right side
    51,491x = 12,729,029,329
  5. Step 5: Solve for x
    x = 12,729,029,329/51,491
  6. Step 6: Final answer
    x = 247,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.