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Finding the Third Proportional to 39,080.25 and 92,161.13

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Solution

The third proportional to 39,080.25 and 92,161.13 is: 217,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,080.25 : 92,161.13 = 92,161.13 : x
  2. Step 2: Convert to fraction form
    39,080.25/92,161.13 = 92,161.13/x
  3. Step 3: Cross multiply
    39,080.25x = 92,161.13 × 92,161.13
  4. Step 4: Simplify right side
    39,080.25x = 8,493,672,961.27
  5. Step 5: Solve for x
    x = 8,493,672,961.27/39,080.25
  6. Step 6: Final answer
    x = 217,339.27

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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.