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Finding the Third Proportional to 125,240 and 193,949

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Solution

The third proportional to 125,240 and 193,949 is: 300,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,240 : 193,949 = 193,949 : x
  2. Step 2: Convert to fraction form
    125,240/193,949 = 193,949/x
  3. Step 3: Cross multiply
    125,240x = 193,949 × 193,949
  4. Step 4: Simplify right side
    125,240x = 37,616,214,601
  5. Step 5: Solve for x
    x = 37,616,214,601/125,240
  6. Step 6: Final answer
    x = 300,353.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.