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Finding the Third Proportional to 27,718 and 67,103

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Solution

The third proportional to 27,718 and 67,103 is: 162,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718 : 67,103 = 67,103 : x
  2. Step 2: Convert to fraction form
    27,718/67,103 = 67,103/x
  3. Step 3: Cross multiply
    27,718x = 67,103 × 67,103
  4. Step 4: Simplify right side
    27,718x = 4,502,812,609
  5. Step 5: Solve for x
    x = 4,502,812,609/27,718
  6. Step 6: Final answer
    x = 162,450.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.