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Finding the Third Proportional to 105,660 and 227,965

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Solution

The third proportional to 105,660 and 227,965 is: 491,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660 : 227,965 = 227,965 : x
  2. Step 2: Convert to fraction form
    105,660/227,965 = 227,965/x
  3. Step 3: Cross multiply
    105,660x = 227,965 × 227,965
  4. Step 4: Simplify right side
    105,660x = 51,968,041,225
  5. Step 5: Solve for x
    x = 51,968,041,225/105,660
  6. Step 6: Final answer
    x = 491,842.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.