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Finding the Third Proportional to 43,692 and 95,562

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Solution

The third proportional to 43,692 and 95,562 is: 209,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 95,562 = 95,562 : x
  2. Step 2: Convert to fraction form
    43,692/95,562 = 95,562/x
  3. Step 3: Cross multiply
    43,692x = 95,562 × 95,562
  4. Step 4: Simplify right side
    43,692x = 9,132,095,844
  5. Step 5: Solve for x
    x = 9,132,095,844/43,692
  6. Step 6: Final answer
    x = 209,010.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.