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Finding the Third Proportional to 125,110 and 194,013

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Solution

The third proportional to 125,110 and 194,013 is: 300,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,110 : 194,013 = 194,013 : x
  2. Step 2: Convert to fraction form
    125,110/194,013 = 194,013/x
  3. Step 3: Cross multiply
    125,110x = 194,013 × 194,013
  4. Step 4: Simplify right side
    125,110x = 37,641,044,169
  5. Step 5: Solve for x
    x = 37,641,044,169/125,110
  6. Step 6: Final answer
    x = 300,863.59

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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.