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Finding the Third Proportional to 125,326 and 194,152

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Solution

The third proportional to 125,326 and 194,152 is: 300,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,326 : 194,152 = 194,152 : x
  2. Step 2: Convert to fraction form
    125,326/194,152 = 194,152/x
  3. Step 3: Cross multiply
    125,326x = 194,152 × 194,152
  4. Step 4: Simplify right side
    125,326x = 37,694,999,104
  5. Step 5: Solve for x
    x = 37,694,999,104/125,326
  6. Step 6: Final answer
    x = 300,775.57

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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.