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Finding the Third Proportional to 46,181 and 99,652

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Solution

The third proportional to 46,181 and 99,652 is: 215,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,181 : 99,652 = 99,652 : x
  2. Step 2: Convert to fraction form
    46,181/99,652 = 99,652/x
  3. Step 3: Cross multiply
    46,181x = 99,652 × 99,652
  4. Step 4: Simplify right side
    46,181x = 9,930,521,104
  5. Step 5: Solve for x
    x = 9,930,521,104/46,181
  6. Step 6: Final answer
    x = 215,034.78

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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.