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Finding the Third Proportional to 54,011 and 113,503

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Solution

The third proportional to 54,011 and 113,503 is: 238,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,011 : 113,503 = 113,503 : x
  2. Step 2: Convert to fraction form
    54,011/113,503 = 113,503/x
  3. Step 3: Cross multiply
    54,011x = 113,503 × 113,503
  4. Step 4: Simplify right side
    54,011x = 12,882,931,009
  5. Step 5: Solve for x
    x = 12,882,931,009/54,011
  6. Step 6: Final answer
    x = 238,524.21

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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.