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Finding the Third Proportional to 68,538 and 102,238

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Solution

The third proportional to 68,538 and 102,238 is: 152,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538 : 102,238 = 102,238 : x
  2. Step 2: Convert to fraction form
    68,538/102,238 = 102,238/x
  3. Step 3: Cross multiply
    68,538x = 102,238 × 102,238
  4. Step 4: Simplify right side
    68,538x = 10,452,608,644
  5. Step 5: Solve for x
    x = 10,452,608,644/68,538
  6. Step 6: Final answer
    x = 152,508.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.