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Finding the Third Proportional to 45,150 and 103,839

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Solution

The third proportional to 45,150 and 103,839 is: 238,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150 : 103,839 = 103,839 : x
  2. Step 2: Convert to fraction form
    45,150/103,839 = 103,839/x
  3. Step 3: Cross multiply
    45,150x = 103,839 × 103,839
  4. Step 4: Simplify right side
    45,150x = 10,782,537,921
  5. Step 5: Solve for x
    x = 10,782,537,921/45,150
  6. Step 6: Final answer
    x = 238,815.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.