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Finding the Third Proportional to 27,171 and 56,088

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Solution

The third proportional to 27,171 and 56,088 is: 115,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171 : 56,088 = 56,088 : x
  2. Step 2: Convert to fraction form
    27,171/56,088 = 56,088/x
  3. Step 3: Cross multiply
    27,171x = 56,088 × 56,088
  4. Step 4: Simplify right side
    27,171x = 3,145,863,744
  5. Step 5: Solve for x
    x = 3,145,863,744/27,171
  6. Step 6: Final answer
    x = 115,780.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.