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Finding the Third Proportional to 43,469 and 100,639

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Solution

The third proportional to 43,469 and 100,639 is: 232,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,469 : 100,639 = 100,639 : x
  2. Step 2: Convert to fraction form
    43,469/100,639 = 100,639/x
  3. Step 3: Cross multiply
    43,469x = 100,639 × 100,639
  4. Step 4: Simplify right side
    43,469x = 10,128,208,321
  5. Step 5: Solve for x
    x = 10,128,208,321/43,469
  6. Step 6: Final answer
    x = 232,998.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.