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Finding the Third Proportional to 48,296 and 102,406

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Solution

The third proportional to 48,296 and 102,406 is: 217,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296 : 102,406 = 102,406 : x
  2. Step 2: Convert to fraction form
    48,296/102,406 = 102,406/x
  3. Step 3: Cross multiply
    48,296x = 102,406 × 102,406
  4. Step 4: Simplify right side
    48,296x = 10,486,988,836
  5. Step 5: Solve for x
    x = 10,486,988,836/48,296
  6. Step 6: Final answer
    x = 217,139.90

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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.