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Finding the Third Proportional to 125,286.75 and 194,295.38

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Solution

The third proportional to 125,286.75 and 194,295.38 is: 301,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,286.75 : 194,295.38 = 194,295.38 : x
  2. Step 2: Convert to fraction form
    125,286.75/194,295.38 = 194,295.38/x
  3. Step 3: Cross multiply
    125,286.75x = 194,295.38 × 194,295.38
  4. Step 4: Simplify right side
    125,286.75x = 37,750,692,746.39
  5. Step 5: Solve for x
    x = 37,750,692,746.39/125,286.75
  6. Step 6: Final answer
    x = 301,314.33

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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.