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Finding the Third Proportional to 52,396 and 113,161

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Solution

The third proportional to 52,396 and 113,161 is: 244,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,396 : 113,161 = 113,161 : x
  2. Step 2: Convert to fraction form
    52,396/113,161 = 113,161/x
  3. Step 3: Cross multiply
    52,396x = 113,161 × 113,161
  4. Step 4: Simplify right side
    52,396x = 12,805,411,921
  5. Step 5: Solve for x
    x = 12,805,411,921/52,396
  6. Step 6: Final answer
    x = 244,396.75

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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.