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Finding the Third Proportional to 94,020 and 135,846

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Solution

The third proportional to 94,020 and 135,846 is: 196,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,020 : 135,846 = 135,846 : x
  2. Step 2: Convert to fraction form
    94,020/135,846 = 135,846/x
  3. Step 3: Cross multiply
    94,020x = 135,846 × 135,846
  4. Step 4: Simplify right side
    94,020x = 18,454,135,716
  5. Step 5: Solve for x
    x = 18,454,135,716/94,020
  6. Step 6: Final answer
    x = 196,278.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.