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Finding the Third Proportional to 86,264 and 115,936

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Solution

The third proportional to 86,264 and 115,936 is: 155,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264 : 115,936 = 115,936 : x
  2. Step 2: Convert to fraction form
    86,264/115,936 = 115,936/x
  3. Step 3: Cross multiply
    86,264x = 115,936 × 115,936
  4. Step 4: Simplify right side
    86,264x = 13,441,156,096
  5. Step 5: Solve for x
    x = 13,441,156,096/86,264
  6. Step 6: Final answer
    x = 155,814.20

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.