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Finding the Third Proportional to 101,763 and 225,747

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Solution

The third proportional to 101,763 and 225,747 is: 500,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,763 : 225,747 = 225,747 : x
  2. Step 2: Convert to fraction form
    101,763/225,747 = 225,747/x
  3. Step 3: Cross multiply
    101,763x = 225,747 × 225,747
  4. Step 4: Simplify right side
    101,763x = 50,961,708,009
  5. Step 5: Solve for x
    x = 50,961,708,009/101,763
  6. Step 6: Final answer
    x = 500,788.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.