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Finding the Third Proportional to 125,224 and 194,200

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Solution

The third proportional to 125,224 and 194,200 is: 301,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224 : 194,200 = 194,200 : x
  2. Step 2: Convert to fraction form
    125,224/194,200 = 194,200/x
  3. Step 3: Cross multiply
    125,224x = 194,200 × 194,200
  4. Step 4: Simplify right side
    125,224x = 37,713,640,000
  5. Step 5: Solve for x
    x = 37,713,640,000/125,224
  6. Step 6: Final answer
    x = 301,169.42

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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.