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Finding the Third Proportional to 125,259 and 194,253

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Solution

The third proportional to 125,259 and 194,253 is: 301,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,259 : 194,253 = 194,253 : x
  2. Step 2: Convert to fraction form
    125,259/194,253 = 194,253/x
  3. Step 3: Cross multiply
    125,259x = 194,253 × 194,253
  4. Step 4: Simplify right side
    125,259x = 37,734,228,009
  5. Step 5: Solve for x
    x = 37,734,228,009/125,259
  6. Step 6: Final answer
    x = 301,249.63

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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.