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Finding the Third Proportional to 41,529 and 97,496

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Solution

The third proportional to 41,529 and 97,496 is: 228,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,529 : 97,496 = 97,496 : x
  2. Step 2: Convert to fraction form
    41,529/97,496 = 97,496/x
  3. Step 3: Cross multiply
    41,529x = 97,496 × 97,496
  4. Step 4: Simplify right side
    41,529x = 9,505,470,016
  5. Step 5: Solve for x
    x = 9,505,470,016/41,529
  6. Step 6: Final answer
    x = 228,887.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.