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Finding the Third Proportional to 45,483 and 106,233

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Solution

The third proportional to 45,483 and 106,233 is: 248,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,483 : 106,233 = 106,233 : x
  2. Step 2: Convert to fraction form
    45,483/106,233 = 106,233/x
  3. Step 3: Cross multiply
    45,483x = 106,233 × 106,233
  4. Step 4: Simplify right side
    45,483x = 11,285,450,289
  5. Step 5: Solve for x
    x = 11,285,450,289/45,483
  6. Step 6: Final answer
    x = 248,124.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.