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Finding the Third Proportional to 52,784 and 115,936

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Solution

The third proportional to 52,784 and 115,936 is: 254,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784 : 115,936 = 115,936 : x
  2. Step 2: Convert to fraction form
    52,784/115,936 = 115,936/x
  3. Step 3: Cross multiply
    52,784x = 115,936 × 115,936
  4. Step 4: Simplify right side
    52,784x = 13,441,156,096
  5. Step 5: Solve for x
    x = 13,441,156,096/52,784
  6. Step 6: Final answer
    x = 254,644.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.