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Finding the Third Proportional to 41,590 and 89,836

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Solution

The third proportional to 41,590 and 89,836 is: 194,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590 : 89,836 = 89,836 : x
  2. Step 2: Convert to fraction form
    41,590/89,836 = 89,836/x
  3. Step 3: Cross multiply
    41,590x = 89,836 × 89,836
  4. Step 4: Simplify right side
    41,590x = 8,070,506,896
  5. Step 5: Solve for x
    x = 8,070,506,896/41,590
  6. Step 6: Final answer
    x = 194,049.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.