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Finding the Third Proportional to 41,685 and 89,934

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Solution

The third proportional to 41,685 and 89,934 is: 194,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,685 : 89,934 = 89,934 : x
  2. Step 2: Convert to fraction form
    41,685/89,934 = 89,934/x
  3. Step 3: Cross multiply
    41,685x = 89,934 × 89,934
  4. Step 4: Simplify right side
    41,685x = 8,088,124,356
  5. Step 5: Solve for x
    x = 8,088,124,356/41,685
  6. Step 6: Final answer
    x = 194,029.61

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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.