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Finding the Third Proportional to 41,273 and 89,458

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Solution

The third proportional to 41,273 and 89,458 is: 193,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,273 : 89,458 = 89,458 : x
  2. Step 2: Convert to fraction form
    41,273/89,458 = 89,458/x
  3. Step 3: Cross multiply
    41,273x = 89,458 × 89,458
  4. Step 4: Simplify right side
    41,273x = 8,002,733,764
  5. Step 5: Solve for x
    x = 8,002,733,764/41,273
  6. Step 6: Final answer
    x = 193,897.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.