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Finding the Third Proportional to 90,317 and 134,167

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Solution

The third proportional to 90,317 and 134,167 is: 199,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,317 : 134,167 = 134,167 : x
  2. Step 2: Convert to fraction form
    90,317/134,167 = 134,167/x
  3. Step 3: Cross multiply
    90,317x = 134,167 × 134,167
  4. Step 4: Simplify right side
    90,317x = 18,000,783,889
  5. Step 5: Solve for x
    x = 18,000,783,889/90,317
  6. Step 6: Final answer
    x = 199,306.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.