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Finding the Third Proportional to 65,731.50 and 106,794

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Solution

The third proportional to 65,731.50 and 106,794 is: 173,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.50 : 106,794 = 106,794 : x
  2. Step 2: Convert to fraction form
    65,731.50/106,794 = 106,794/x
  3. Step 3: Cross multiply
    65,731.50x = 106,794 × 106,794
  4. Step 4: Simplify right side
    65,731.50x = 11,404,958,436
  5. Step 5: Solve for x
    x = 11,404,958,436/65,731.50
  6. Step 6: Final answer
    x = 173,508.26

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.