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Finding the Third Proportional to 27,176 and 56,098

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Solution

The third proportional to 27,176 and 56,098 is: 115,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176 : 56,098 = 56,098 : x
  2. Step 2: Convert to fraction form
    27,176/56,098 = 56,098/x
  3. Step 3: Cross multiply
    27,176x = 56,098 × 56,098
  4. Step 4: Simplify right side
    27,176x = 3,146,985,604
  5. Step 5: Solve for x
    x = 3,146,985,604/27,176
  6. Step 6: Final answer
    x = 115,800.18

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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.