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Finding the Third Proportional to 125,340 and 194,172

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Solution

The third proportional to 125,340 and 194,172 is: 300,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,340 : 194,172 = 194,172 : x
  2. Step 2: Convert to fraction form
    125,340/194,172 = 194,172/x
  3. Step 3: Cross multiply
    125,340x = 194,172 × 194,172
  4. Step 4: Simplify right side
    125,340x = 37,702,765,584
  5. Step 5: Solve for x
    x = 37,702,765,584/125,340
  6. Step 6: Final answer
    x = 300,803.94

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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.