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Finding the Third Proportional to 59,226 and 87,936

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Solution

The third proportional to 59,226 and 87,936 is: 130,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,226 : 87,936 = 87,936 : x
  2. Step 2: Convert to fraction form
    59,226/87,936 = 87,936/x
  3. Step 3: Cross multiply
    59,226x = 87,936 × 87,936
  4. Step 4: Simplify right side
    59,226x = 7,732,740,096
  5. Step 5: Solve for x
    x = 7,732,740,096/59,226
  6. Step 6: Final answer
    x = 130,563.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.