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Finding the Third Proportional to 46,737 and 100,962

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Solution

The third proportional to 46,737 and 100,962 is: 218,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 100,962 = 100,962 : x
  2. Step 2: Convert to fraction form
    46,737/100,962 = 100,962/x
  3. Step 3: Cross multiply
    46,737x = 100,962 × 100,962
  4. Step 4: Simplify right side
    46,737x = 10,193,325,444
  5. Step 5: Solve for x
    x = 10,193,325,444/46,737
  6. Step 6: Final answer
    x = 218,099.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.