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Finding the Third Proportional to 67,928 and 137,688

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Solution

The third proportional to 67,928 and 137,688 is: 279,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,928 : 137,688 = 137,688 : x
  2. Step 2: Convert to fraction form
    67,928/137,688 = 137,688/x
  3. Step 3: Cross multiply
    67,928x = 137,688 × 137,688
  4. Step 4: Simplify right side
    67,928x = 18,957,985,344
  5. Step 5: Solve for x
    x = 18,957,985,344/67,928
  6. Step 6: Final answer
    x = 279,089.41

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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.