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Finding the Third Proportional to 41,674 and 89,894

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Solution

The third proportional to 41,674 and 89,894 is: 193,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674 : 89,894 = 89,894 : x
  2. Step 2: Convert to fraction form
    41,674/89,894 = 89,894/x
  3. Step 3: Cross multiply
    41,674x = 89,894 × 89,894
  4. Step 4: Simplify right side
    41,674x = 8,080,931,236
  5. Step 5: Solve for x
    x = 8,080,931,236/41,674
  6. Step 6: Final answer
    x = 193,908.22

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Why These Related Problems?

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