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Finding the Third Proportional to 51,132 and 108,441

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Solution

The third proportional to 51,132 and 108,441 is: 229,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 108,441 = 108,441 : x
  2. Step 2: Convert to fraction form
    51,132/108,441 = 108,441/x
  3. Step 3: Cross multiply
    51,132x = 108,441 × 108,441
  4. Step 4: Simplify right side
    51,132x = 11,759,450,481
  5. Step 5: Solve for x
    x = 11,759,450,481/51,132
  6. Step 6: Final answer
    x = 229,982.21

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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.