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Finding the Third Proportional to 105,905 and 227,166

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Solution

The third proportional to 105,905 and 227,166 is: 487,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905 : 227,166 = 227,166 : x
  2. Step 2: Convert to fraction form
    105,905/227,166 = 227,166/x
  3. Step 3: Cross multiply
    105,905x = 227,166 × 227,166
  4. Step 4: Simplify right side
    105,905x = 51,604,391,556
  5. Step 5: Solve for x
    x = 51,604,391,556/105,905
  6. Step 6: Final answer
    x = 487,270.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.