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Finding the Third Proportional to 54,343 and 112,177

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Solution

The third proportional to 54,343 and 112,177 is: 231,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,343 : 112,177 = 112,177 : x
  2. Step 2: Convert to fraction form
    54,343/112,177 = 112,177/x
  3. Step 3: Cross multiply
    54,343x = 112,177 × 112,177
  4. Step 4: Simplify right side
    54,343x = 12,583,679,329
  5. Step 5: Solve for x
    x = 12,583,679,329/54,343
  6. Step 6: Final answer
    x = 231,560.26

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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.