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Finding the Third Proportional to 54,344 and 112,072

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Solution

The third proportional to 54,344 and 112,072 is: 231,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,344 : 112,072 = 112,072 : x
  2. Step 2: Convert to fraction form
    54,344/112,072 = 112,072/x
  3. Step 3: Cross multiply
    54,344x = 112,072 × 112,072
  4. Step 4: Simplify right side
    54,344x = 12,560,133,184
  5. Step 5: Solve for x
    x = 12,560,133,184/54,344
  6. Step 6: Final answer
    x = 231,122.72

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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.