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Finding the Third Proportional to 52,344 and 113,544

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Solution

The third proportional to 52,344 and 113,544 is: 246,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344 : 113,544 = 113,544 : x
  2. Step 2: Convert to fraction form
    52,344/113,544 = 113,544/x
  3. Step 3: Cross multiply
    52,344x = 113,544 × 113,544
  4. Step 4: Simplify right side
    52,344x = 12,892,239,936
  5. Step 5: Solve for x
    x = 12,892,239,936/52,344
  6. Step 6: Final answer
    x = 246,298.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.