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Finding the Third Proportional to 102,764 and 225,166

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Solution

The third proportional to 102,764 and 225,166 is: 493,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764 : 225,166 = 225,166 : x
  2. Step 2: Convert to fraction form
    102,764/225,166 = 225,166/x
  3. Step 3: Cross multiply
    102,764x = 225,166 × 225,166
  4. Step 4: Simplify right side
    102,764x = 50,699,727,556
  5. Step 5: Solve for x
    x = 50,699,727,556/102,764
  6. Step 6: Final answer
    x = 493,360.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.