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Finding the Third Proportional to 40,256 and 85,384

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Solution

The third proportional to 40,256 and 85,384 is: 181,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,256 : 85,384 = 85,384 : x
  2. Step 2: Convert to fraction form
    40,256/85,384 = 85,384/x
  3. Step 3: Cross multiply
    40,256x = 85,384 × 85,384
  4. Step 4: Simplify right side
    40,256x = 7,290,427,456
  5. Step 5: Solve for x
    x = 7,290,427,456/40,256
  6. Step 6: Final answer
    x = 181,101.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.