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Finding the Third Proportional to 52,128 and 113,936

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Solution

The third proportional to 52,128 and 113,936 is: 249,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 113,936 = 113,936 : x
  2. Step 2: Convert to fraction form
    52,128/113,936 = 113,936/x
  3. Step 3: Cross multiply
    52,128x = 113,936 × 113,936
  4. Step 4: Simplify right side
    52,128x = 12,981,412,096
  5. Step 5: Solve for x
    x = 12,981,412,096/52,128
  6. Step 6: Final answer
    x = 249,029.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.