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Finding the Third Proportional to 40,161 and 61,287

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Solution

The third proportional to 40,161 and 61,287 is: 93,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,161 : 61,287 = 61,287 : x
  2. Step 2: Convert to fraction form
    40,161/61,287 = 61,287/x
  3. Step 3: Cross multiply
    40,161x = 61,287 × 61,287
  4. Step 4: Simplify right side
    40,161x = 3,756,096,369
  5. Step 5: Solve for x
    x = 3,756,096,369/40,161
  6. Step 6: Final answer
    x = 93,525.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.