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Finding the Third Proportional to 116,799 and 167,023

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Solution

The third proportional to 116,799 and 167,023 is: 238,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,799 : 167,023 = 167,023 : x
  2. Step 2: Convert to fraction form
    116,799/167,023 = 167,023/x
  3. Step 3: Cross multiply
    116,799x = 167,023 × 167,023
  4. Step 4: Simplify right side
    116,799x = 27,896,682,529
  5. Step 5: Solve for x
    x = 27,896,682,529/116,799
  6. Step 6: Final answer
    x = 238,843.50

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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.