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Finding the Third Proportional to 125,244 and 193,960

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Solution

The third proportional to 125,244 and 193,960 is: 300,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,244 : 193,960 = 193,960 : x
  2. Step 2: Convert to fraction form
    125,244/193,960 = 193,960/x
  3. Step 3: Cross multiply
    125,244x = 193,960 × 193,960
  4. Step 4: Simplify right side
    125,244x = 37,620,481,600
  5. Step 5: Solve for x
    x = 37,620,481,600/125,244
  6. Step 6: Final answer
    x = 300,377.52

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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.