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Finding the Third Proportional to 52,206 and 113,823

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Solution

The third proportional to 52,206 and 113,823 is: 248,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,206 : 113,823 = 113,823 : x
  2. Step 2: Convert to fraction form
    52,206/113,823 = 113,823/x
  3. Step 3: Cross multiply
    52,206x = 113,823 × 113,823
  4. Step 4: Simplify right side
    52,206x = 12,955,675,329
  5. Step 5: Solve for x
    x = 12,955,675,329/52,206
  6. Step 6: Final answer
    x = 248,164.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.