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Finding the Third Proportional to 67,095 and 137,103

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Solution

The third proportional to 67,095 and 137,103 is: 280,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,095 : 137,103 = 137,103 : x
  2. Step 2: Convert to fraction form
    67,095/137,103 = 137,103/x
  3. Step 3: Cross multiply
    67,095x = 137,103 × 137,103
  4. Step 4: Simplify right side
    67,095x = 18,797,232,609
  5. Step 5: Solve for x
    x = 18,797,232,609/67,095
  6. Step 6: Final answer
    x = 280,158.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.