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Finding the Third Proportional to 59,744 and 81,187

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Solution

The third proportional to 59,744 and 81,187 is: 110,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,744 : 81,187 = 81,187 : x
  2. Step 2: Convert to fraction form
    59,744/81,187 = 81,187/x
  3. Step 3: Cross multiply
    59,744x = 81,187 × 81,187
  4. Step 4: Simplify right side
    59,744x = 6,591,328,969
  5. Step 5: Solve for x
    x = 6,591,328,969/59,744
  6. Step 6: Final answer
    x = 110,326.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.