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Finding the Third Proportional to 116,865 and 167,102

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Solution

The third proportional to 116,865 and 167,102 is: 238,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,865 : 167,102 = 167,102 : x
  2. Step 2: Convert to fraction form
    116,865/167,102 = 167,102/x
  3. Step 3: Cross multiply
    116,865x = 167,102 × 167,102
  4. Step 4: Simplify right side
    116,865x = 27,923,078,404
  5. Step 5: Solve for x
    x = 27,923,078,404/116,865
  6. Step 6: Final answer
    x = 238,934.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.