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Finding the Third Proportional to 41,924 and 89,852

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Solution

The third proportional to 41,924 and 89,852 is: 192,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,924 : 89,852 = 89,852 : x
  2. Step 2: Convert to fraction form
    41,924/89,852 = 89,852/x
  3. Step 3: Cross multiply
    41,924x = 89,852 × 89,852
  4. Step 4: Simplify right side
    41,924x = 8,073,381,904
  5. Step 5: Solve for x
    x = 8,073,381,904/41,924
  6. Step 6: Final answer
    x = 192,571.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.