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Finding the Third Proportional to 40,529 and 89,239

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Solution

The third proportional to 40,529 and 89,239 is: 196,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,529 : 89,239 = 89,239 : x
  2. Step 2: Convert to fraction form
    40,529/89,239 = 89,239/x
  3. Step 3: Cross multiply
    40,529x = 89,239 × 89,239
  4. Step 4: Simplify right side
    40,529x = 7,963,599,121
  5. Step 5: Solve for x
    x = 7,963,599,121/40,529
  6. Step 6: Final answer
    x = 196,491.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.