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Finding the Third Proportional to 41,020 and 96,778

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Solution

The third proportional to 41,020 and 96,778 is: 228,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,020 : 96,778 = 96,778 : x
  2. Step 2: Convert to fraction form
    41,020/96,778 = 96,778/x
  3. Step 3: Cross multiply
    41,020x = 96,778 × 96,778
  4. Step 4: Simplify right side
    41,020x = 9,365,981,284
  5. Step 5: Solve for x
    x = 9,365,981,284/41,020
  6. Step 6: Final answer
    x = 228,327.19

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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.