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Finding the Third Proportional to 48,744 and 106,302

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Solution

The third proportional to 48,744 and 106,302 is: 231,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744 : 106,302 = 106,302 : x
  2. Step 2: Convert to fraction form
    48,744/106,302 = 106,302/x
  3. Step 3: Cross multiply
    48,744x = 106,302 × 106,302
  4. Step 4: Simplify right side
    48,744x = 11,300,115,204
  5. Step 5: Solve for x
    x = 11,300,115,204/48,744
  6. Step 6: Final answer
    x = 231,825.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.