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Finding the Third Proportional to 41,652 and 89,865

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Solution

The third proportional to 41,652 and 89,865 is: 193,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652 : 89,865 = 89,865 : x
  2. Step 2: Convert to fraction form
    41,652/89,865 = 89,865/x
  3. Step 3: Cross multiply
    41,652x = 89,865 × 89,865
  4. Step 4: Simplify right side
    41,652x = 8,075,718,225
  5. Step 5: Solve for x
    x = 8,075,718,225/41,652
  6. Step 6: Final answer
    x = 193,885.49

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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.