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Finding the Third Proportional to 116,971 and 167,273

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Solution

The third proportional to 116,971 and 167,273 is: 239,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,971 : 167,273 = 167,273 : x
  2. Step 2: Convert to fraction form
    116,971/167,273 = 167,273/x
  3. Step 3: Cross multiply
    116,971x = 167,273 × 167,273
  4. Step 4: Simplify right side
    116,971x = 27,980,256,529
  5. Step 5: Solve for x
    x = 27,980,256,529/116,971
  6. Step 6: Final answer
    x = 239,206.78

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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.