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Finding the Third Proportional to 83,600 and 137,234

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Solution

The third proportional to 83,600 and 137,234 is: 225,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,600 : 137,234 = 137,234 : x
  2. Step 2: Convert to fraction form
    83,600/137,234 = 137,234/x
  3. Step 3: Cross multiply
    83,600x = 137,234 × 137,234
  4. Step 4: Simplify right side
    83,600x = 18,833,170,756
  5. Step 5: Solve for x
    x = 18,833,170,756/83,600
  6. Step 6: Final answer
    x = 225,277.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.