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Finding the Third Proportional to 46,081 and 68,833

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Solution

The third proportional to 46,081 and 68,833 is: 102,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,081 : 68,833 = 68,833 : x
  2. Step 2: Convert to fraction form
    46,081/68,833 = 68,833/x
  3. Step 3: Cross multiply
    46,081x = 68,833 × 68,833
  4. Step 4: Simplify right side
    46,081x = 4,737,981,889
  5. Step 5: Solve for x
    x = 4,737,981,889/46,081
  6. Step 6: Final answer
    x = 102,818.56

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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.