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Finding the Third Proportional to 105,177 and 225,133

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Solution

The third proportional to 105,177 and 225,133 is: 481,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,177 : 225,133 = 225,133 : x
  2. Step 2: Convert to fraction form
    105,177/225,133 = 225,133/x
  3. Step 3: Cross multiply
    105,177x = 225,133 × 225,133
  4. Step 4: Simplify right side
    105,177x = 50,684,867,689
  5. Step 5: Solve for x
    x = 50,684,867,689/105,177
  6. Step 6: Final answer
    x = 481,900.68

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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.