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Finding the Third Proportional to 137,552 and 196,245

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Solution

The third proportional to 137,552 and 196,245 is: 279,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,552 : 196,245 = 196,245 : x
  2. Step 2: Convert to fraction form
    137,552/196,245 = 196,245/x
  3. Step 3: Cross multiply
    137,552x = 196,245 × 196,245
  4. Step 4: Simplify right side
    137,552x = 38,512,100,025
  5. Step 5: Solve for x
    x = 38,512,100,025/137,552
  6. Step 6: Final answer
    x = 279,982.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.