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Finding the Third Proportional to 46,096 and 68,850

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Solution

The third proportional to 46,096 and 68,850 is: 102,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,096 : 68,850 = 68,850 : x
  2. Step 2: Convert to fraction form
    46,096/68,850 = 68,850/x
  3. Step 3: Cross multiply
    46,096x = 68,850 × 68,850
  4. Step 4: Simplify right side
    46,096x = 4,740,322,500
  5. Step 5: Solve for x
    x = 4,740,322,500/46,096
  6. Step 6: Final answer
    x = 102,835.88

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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.