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Finding the Third Proportional to 46,917 and 95,745

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Solution

The third proportional to 46,917 and 95,745 is: 195,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,917 : 95,745 = 95,745 : x
  2. Step 2: Convert to fraction form
    46,917/95,745 = 95,745/x
  3. Step 3: Cross multiply
    46,917x = 95,745 × 95,745
  4. Step 4: Simplify right side
    46,917x = 9,167,105,025
  5. Step 5: Solve for x
    x = 9,167,105,025/46,917
  6. Step 6: Final answer
    x = 195,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.