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Finding the Third Proportional to 102,962 and 225,608

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Solution

The third proportional to 102,962 and 225,608 is: 494,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,962 : 225,608 = 225,608 : x
  2. Step 2: Convert to fraction form
    102,962/225,608 = 225,608/x
  3. Step 3: Cross multiply
    102,962x = 225,608 × 225,608
  4. Step 4: Simplify right side
    102,962x = 50,898,969,664
  5. Step 5: Solve for x
    x = 50,898,969,664/102,962
  6. Step 6: Final answer
    x = 494,347.13

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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.