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Finding the Third Proportional to 52,201 and 113,811

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Solution

The third proportional to 52,201 and 113,811 is: 248,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201 : 113,811 = 113,811 : x
  2. Step 2: Convert to fraction form
    52,201/113,811 = 113,811/x
  3. Step 3: Cross multiply
    52,201x = 113,811 × 113,811
  4. Step 4: Simplify right side
    52,201x = 12,952,943,721
  5. Step 5: Solve for x
    x = 12,952,943,721/52,201
  6. Step 6: Final answer
    x = 248,135.93

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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.