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Finding the Third Proportional to 46,906 and 95,721

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Solution

The third proportional to 46,906 and 95,721 is: 195,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906 : 95,721 = 95,721 : x
  2. Step 2: Convert to fraction form
    46,906/95,721 = 95,721/x
  3. Step 3: Cross multiply
    46,906x = 95,721 × 95,721
  4. Step 4: Simplify right side
    46,906x = 9,162,509,841
  5. Step 5: Solve for x
    x = 9,162,509,841/46,906
  6. Step 6: Final answer
    x = 195,337.69

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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.