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Finding the Third Proportional to 125,274 and 193,892

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Solution

The third proportional to 125,274 and 193,892 is: 300,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,274 : 193,892 = 193,892 : x
  2. Step 2: Convert to fraction form
    125,274/193,892 = 193,892/x
  3. Step 3: Cross multiply
    125,274x = 193,892 × 193,892
  4. Step 4: Simplify right side
    125,274x = 37,594,107,664
  5. Step 5: Solve for x
    x = 37,594,107,664/125,274
  6. Step 6: Final answer
    x = 300,095.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.