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Finding the Third Proportional to 116,799 and 167,019

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Solution

The third proportional to 116,799 and 167,019 is: 238,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,799 : 167,019 = 167,019 : x
  2. Step 2: Convert to fraction form
    116,799/167,019 = 167,019/x
  3. Step 3: Cross multiply
    116,799x = 167,019 × 167,019
  4. Step 4: Simplify right side
    116,799x = 27,895,346,361
  5. Step 5: Solve for x
    x = 27,895,346,361/116,799
  6. Step 6: Final answer
    x = 238,832.07

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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.