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Finding the Third Proportional to 125,324 and 194,180

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Solution

The third proportional to 125,324 and 194,180 is: 300,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,324 : 194,180 = 194,180 : x
  2. Step 2: Convert to fraction form
    125,324/194,180 = 194,180/x
  3. Step 3: Cross multiply
    125,324x = 194,180 × 194,180
  4. Step 4: Simplify right side
    125,324x = 37,705,872,400
  5. Step 5: Solve for x
    x = 37,705,872,400/125,324
  6. Step 6: Final answer
    x = 300,867.13

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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.