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Finding the Third Proportional to 117,494 and 167,493

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Solution

The third proportional to 117,494 and 167,493 is: 238,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,494 : 167,493 = 167,493 : x
  2. Step 2: Convert to fraction form
    117,494/167,493 = 167,493/x
  3. Step 3: Cross multiply
    117,494x = 167,493 × 167,493
  4. Step 4: Simplify right side
    117,494x = 28,053,905,049
  5. Step 5: Solve for x
    x = 28,053,905,049/117,494
  6. Step 6: Final answer
    x = 238,768.83

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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.