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Finding the Third Proportional to 51,483 and 111,120

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Solution

The third proportional to 51,483 and 111,120 is: 239,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,483 : 111,120 = 111,120 : x
  2. Step 2: Convert to fraction form
    51,483/111,120 = 111,120/x
  3. Step 3: Cross multiply
    51,483x = 111,120 × 111,120
  4. Step 4: Simplify right side
    51,483x = 12,347,654,400
  5. Step 5: Solve for x
    x = 12,347,654,400/51,483
  6. Step 6: Final answer
    x = 239,839.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.