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Finding the Third Proportional to 125,114 and 194,019

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Solution

The third proportional to 125,114 and 194,019 is: 300,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,114 : 194,019 = 194,019 : x
  2. Step 2: Convert to fraction form
    125,114/194,019 = 194,019/x
  3. Step 3: Cross multiply
    125,114x = 194,019 × 194,019
  4. Step 4: Simplify right side
    125,114x = 37,643,372,361
  5. Step 5: Solve for x
    x = 37,643,372,361/125,114
  6. Step 6: Final answer
    x = 300,872.58

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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.