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Finding the Third Proportional to 41,090 and 96,965

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Solution

The third proportional to 41,090 and 96,965 is: 228,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,090 : 96,965 = 96,965 : x
  2. Step 2: Convert to fraction form
    41,090/96,965 = 96,965/x
  3. Step 3: Cross multiply
    41,090x = 96,965 × 96,965
  4. Step 4: Simplify right side
    41,090x = 9,402,211,225
  5. Step 5: Solve for x
    x = 9,402,211,225/41,090
  6. Step 6: Final answer
    x = 228,819.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.