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Finding the Third Proportional to 129,904 and 194,874

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Solution

The third proportional to 129,904 and 194,874 is: 292,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,904 : 194,874 = 194,874 : x
  2. Step 2: Convert to fraction form
    129,904/194,874 = 194,874/x
  3. Step 3: Cross multiply
    129,904x = 194,874 × 194,874
  4. Step 4: Simplify right side
    129,904x = 37,975,875,876
  5. Step 5: Solve for x
    x = 37,975,875,876/129,904
  6. Step 6: Final answer
    x = 292,338.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.