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Finding the Third Proportional to 49,629 and 102,606

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Solution

The third proportional to 49,629 and 102,606 is: 212,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,629 : 102,606 = 102,606 : x
  2. Step 2: Convert to fraction form
    49,629/102,606 = 102,606/x
  3. Step 3: Cross multiply
    49,629x = 102,606 × 102,606
  4. Step 4: Simplify right side
    49,629x = 10,527,991,236
  5. Step 5: Solve for x
    x = 10,527,991,236/49,629
  6. Step 6: Final answer
    x = 212,133.86

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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.