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Finding the Third Proportional to 27,623 and 60,187

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Solution

The third proportional to 27,623 and 60,187 is: 131,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,623 : 60,187 = 60,187 : x
  2. Step 2: Convert to fraction form
    27,623/60,187 = 60,187/x
  3. Step 3: Cross multiply
    27,623x = 60,187 × 60,187
  4. Step 4: Simplify right side
    27,623x = 3,622,474,969
  5. Step 5: Solve for x
    x = 3,622,474,969/27,623
  6. Step 6: Final answer
    x = 131,139.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.