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Finding the Third Proportional to 41,395 and 89,702

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Solution

The third proportional to 41,395 and 89,702 is: 194,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,395 : 89,702 = 89,702 : x
  2. Step 2: Convert to fraction form
    41,395/89,702 = 89,702/x
  3. Step 3: Cross multiply
    41,395x = 89,702 × 89,702
  4. Step 4: Simplify right side
    41,395x = 8,046,448,804
  5. Step 5: Solve for x
    x = 8,046,448,804/41,395
  6. Step 6: Final answer
    x = 194,382.14

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Why These Related Problems?

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