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Finding the Third Proportional to 27,969 and 59,177

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Solution

The third proportional to 27,969 and 59,177 is: 125,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 59,177 = 59,177 : x
  2. Step 2: Convert to fraction form
    27,969/59,177 = 59,177/x
  3. Step 3: Cross multiply
    27,969x = 59,177 × 59,177
  4. Step 4: Simplify right side
    27,969x = 3,501,917,329
  5. Step 5: Solve for x
    x = 3,501,917,329/27,969
  6. Step 6: Final answer
    x = 125,207.10

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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.