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Finding the Third Proportional to 116,921 and 167,206

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Solution

The third proportional to 116,921 and 167,206 is: 239,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,921 : 167,206 = 167,206 : x
  2. Step 2: Convert to fraction form
    116,921/167,206 = 167,206/x
  3. Step 3: Cross multiply
    116,921x = 167,206 × 167,206
  4. Step 4: Simplify right side
    116,921x = 27,957,846,436
  5. Step 5: Solve for x
    x = 27,957,846,436/116,921
  6. Step 6: Final answer
    x = 239,117.41

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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.