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Finding the Third Proportional to 80,576 and 113,268

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Solution

The third proportional to 80,576 and 113,268 is: 159,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,576 : 113,268 = 113,268 : x
  2. Step 2: Convert to fraction form
    80,576/113,268 = 113,268/x
  3. Step 3: Cross multiply
    80,576x = 113,268 × 113,268
  4. Step 4: Simplify right side
    80,576x = 12,829,639,824
  5. Step 5: Solve for x
    x = 12,829,639,824/80,576
  6. Step 6: Final answer
    x = 159,224.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.