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Finding the Third Proportional to 52,450 and 113,240

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Solution

The third proportional to 52,450 and 113,240 is: 244,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,450 : 113,240 = 113,240 : x
  2. Step 2: Convert to fraction form
    52,450/113,240 = 113,240/x
  3. Step 3: Cross multiply
    52,450x = 113,240 × 113,240
  4. Step 4: Simplify right side
    52,450x = 12,823,297,600
  5. Step 5: Solve for x
    x = 12,823,297,600/52,450
  6. Step 6: Final answer
    x = 244,486.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.