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Finding the Third Proportional to 54,056 and 113,544

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Solution

The third proportional to 54,056 and 113,544 is: 238,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,056 : 113,544 = 113,544 : x
  2. Step 2: Convert to fraction form
    54,056/113,544 = 113,544/x
  3. Step 3: Cross multiply
    54,056x = 113,544 × 113,544
  4. Step 4: Simplify right side
    54,056x = 12,892,239,936
  5. Step 5: Solve for x
    x = 12,892,239,936/54,056
  6. Step 6: Final answer
    x = 238,497.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.