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Finding the Third Proportional to 76,081 and 154,466

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Solution

The third proportional to 76,081 and 154,466 is: 313,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,081 : 154,466 = 154,466 : x
  2. Step 2: Convert to fraction form
    76,081/154,466 = 154,466/x
  3. Step 3: Cross multiply
    76,081x = 154,466 × 154,466
  4. Step 4: Simplify right side
    76,081x = 23,859,745,156
  5. Step 5: Solve for x
    x = 23,859,745,156/76,081
  6. Step 6: Final answer
    x = 313,609.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.