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Finding the Third Proportional to 106,848 and 225,765

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Solution

The third proportional to 106,848 and 225,765 is: 477,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,848 : 225,765 = 225,765 : x
  2. Step 2: Convert to fraction form
    106,848/225,765 = 225,765/x
  3. Step 3: Cross multiply
    106,848x = 225,765 × 225,765
  4. Step 4: Simplify right side
    106,848x = 50,969,835,225
  5. Step 5: Solve for x
    x = 50,969,835,225/106,848
  6. Step 6: Final answer
    x = 477,031.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.