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Finding the Third Proportional to 48,634 and 100,966

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Solution

The third proportional to 48,634 and 100,966 is: 209,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634 : 100,966 = 100,966 : x
  2. Step 2: Convert to fraction form
    48,634/100,966 = 100,966/x
  3. Step 3: Cross multiply
    48,634x = 100,966 × 100,966
  4. Step 4: Simplify right side
    48,634x = 10,194,133,156
  5. Step 5: Solve for x
    x = 10,194,133,156/48,634
  6. Step 6: Final answer
    x = 209,609.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.