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Finding the Third Proportional to 48,476 and 102,812

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Solution

The third proportional to 48,476 and 102,812 is: 218,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476 : 102,812 = 102,812 : x
  2. Step 2: Convert to fraction form
    48,476/102,812 = 102,812/x
  3. Step 3: Cross multiply
    48,476x = 102,812 × 102,812
  4. Step 4: Simplify right side
    48,476x = 10,570,307,344
  5. Step 5: Solve for x
    x = 10,570,307,344/48,476
  6. Step 6: Final answer
    x = 218,052.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.