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Finding the Third Proportional to 117,428 and 167,874

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Solution

The third proportional to 117,428 and 167,874 is: 239,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,428 : 167,874 = 167,874 : x
  2. Step 2: Convert to fraction form
    117,428/167,874 = 167,874/x
  3. Step 3: Cross multiply
    117,428x = 167,874 × 167,874
  4. Step 4: Simplify right side
    117,428x = 28,181,679,876
  5. Step 5: Solve for x
    x = 28,181,679,876/117,428
  6. Step 6: Final answer
    x = 239,991.14

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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.