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Finding the Third Proportional to 117,576 and 161,965

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Solution

The third proportional to 117,576 and 161,965 is: 223,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,576 : 161,965 = 161,965 : x
  2. Step 2: Convert to fraction form
    117,576/161,965 = 161,965/x
  3. Step 3: Cross multiply
    117,576x = 161,965 × 161,965
  4. Step 4: Simplify right side
    117,576x = 26,232,661,225
  5. Step 5: Solve for x
    x = 26,232,661,225/117,576
  6. Step 6: Final answer
    x = 223,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.