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Finding the Third Proportional to 41,132 and 90,346

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Solution

The third proportional to 41,132 and 90,346 is: 198,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132 : 90,346 = 90,346 : x
  2. Step 2: Convert to fraction form
    41,132/90,346 = 90,346/x
  3. Step 3: Cross multiply
    41,132x = 90,346 × 90,346
  4. Step 4: Simplify right side
    41,132x = 8,162,399,716
  5. Step 5: Solve for x
    x = 8,162,399,716/41,132
  6. Step 6: Final answer
    x = 198,444.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.