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Finding the Third Proportional to 51,498 and 112,839

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Solution

The third proportional to 51,498 and 112,839 is: 247,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498 : 112,839 = 112,839 : x
  2. Step 2: Convert to fraction form
    51,498/112,839 = 112,839/x
  3. Step 3: Cross multiply
    51,498x = 112,839 × 112,839
  4. Step 4: Simplify right side
    51,498x = 12,732,639,921
  5. Step 5: Solve for x
    x = 12,732,639,921/51,498
  6. Step 6: Final answer
    x = 247,245.33

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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.