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Finding the Third Proportional to 49,282 and 102,063

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Solution

The third proportional to 49,282 and 102,063 is: 211,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,282 : 102,063 = 102,063 : x
  2. Step 2: Convert to fraction form
    49,282/102,063 = 102,063/x
  3. Step 3: Cross multiply
    49,282x = 102,063 × 102,063
  4. Step 4: Simplify right side
    49,282x = 10,416,855,969
  5. Step 5: Solve for x
    x = 10,416,855,969/49,282
  6. Step 6: Final answer
    x = 211,372.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.