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Finding the Third Proportional to 102,115.69 and 155,940.19

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Solution

The third proportional to 102,115.69 and 155,940.19 is: 238,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 155,940.19 = 155,940.19 : x
  2. Step 2: Convert to fraction form
    102,115.69/155,940.19 = 155,940.19/x
  3. Step 3: Cross multiply
    102,115.69x = 155,940.19 × 155,940.19
  4. Step 4: Simplify right side
    102,115.69x = 24,317,342,077.54
  5. Step 5: Solve for x
    x = 24,317,342,077.54/102,115.69
  6. Step 6: Final answer
    x = 238,135.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.