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Finding the Third Proportional to 68,540 and 102,241

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Solution

The third proportional to 68,540 and 102,241 is: 152,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,540 : 102,241 = 102,241 : x
  2. Step 2: Convert to fraction form
    68,540/102,241 = 102,241/x
  3. Step 3: Cross multiply
    68,540x = 102,241 × 102,241
  4. Step 4: Simplify right side
    68,540x = 10,453,222,081
  5. Step 5: Solve for x
    x = 10,453,222,081/68,540
  6. Step 6: Final answer
    x = 152,512.72

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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.