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Finding the Third Proportional to 129,905 and 194,876

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Solution

The third proportional to 129,905 and 194,876 is: 292,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,905 : 194,876 = 194,876 : x
  2. Step 2: Convert to fraction form
    129,905/194,876 = 194,876/x
  3. Step 3: Cross multiply
    129,905x = 194,876 × 194,876
  4. Step 4: Simplify right side
    129,905x = 37,976,655,376
  5. Step 5: Solve for x
    x = 37,976,655,376/129,905
  6. Step 6: Final answer
    x = 292,341.75

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Why These Related Problems?

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