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Finding the Third Proportional to 79,236 and 116,496

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Solution

The third proportional to 79,236 and 116,496 is: 171,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,236 : 116,496 = 116,496 : x
  2. Step 2: Convert to fraction form
    79,236/116,496 = 116,496/x
  3. Step 3: Cross multiply
    79,236x = 116,496 × 116,496
  4. Step 4: Simplify right side
    79,236x = 13,571,318,016
  5. Step 5: Solve for x
    x = 13,571,318,016/79,236
  6. Step 6: Final answer
    x = 171,277.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.