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Finding the Third Proportional to 125,167 and 193,935

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Solution

The third proportional to 125,167 and 193,935 is: 300,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,167 : 193,935 = 193,935 : x
  2. Step 2: Convert to fraction form
    125,167/193,935 = 193,935/x
  3. Step 3: Cross multiply
    125,167x = 193,935 × 193,935
  4. Step 4: Simplify right side
    125,167x = 37,610,784,225
  5. Step 5: Solve for x
    x = 37,610,784,225/125,167
  6. Step 6: Final answer
    x = 300,484.83

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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.