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Finding the Third Proportional to 40,934 and 89,562

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Solution

The third proportional to 40,934 and 89,562 is: 195,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,934 : 89,562 = 89,562 : x
  2. Step 2: Convert to fraction form
    40,934/89,562 = 89,562/x
  3. Step 3: Cross multiply
    40,934x = 89,562 × 89,562
  4. Step 4: Simplify right side
    40,934x = 8,021,351,844
  5. Step 5: Solve for x
    x = 8,021,351,844/40,934
  6. Step 6: Final answer
    x = 195,958.17

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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.