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Finding the Third Proportional to 104,083 and 225,665

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Solution

The third proportional to 104,083 and 225,665 is: 489,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,083 : 225,665 = 225,665 : x
  2. Step 2: Convert to fraction form
    104,083/225,665 = 225,665/x
  3. Step 3: Cross multiply
    104,083x = 225,665 × 225,665
  4. Step 4: Simplify right side
    104,083x = 50,924,692,225
  5. Step 5: Solve for x
    x = 50,924,692,225/104,083
  6. Step 6: Final answer
    x = 489,270.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.