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Finding the Third Proportional to 79,736 and 116,144

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Solution

The third proportional to 79,736 and 116,144 is: 169,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,736 : 116,144 = 116,144 : x
  2. Step 2: Convert to fraction form
    79,736/116,144 = 116,144/x
  3. Step 3: Cross multiply
    79,736x = 116,144 × 116,144
  4. Step 4: Simplify right side
    79,736x = 13,489,428,736
  5. Step 5: Solve for x
    x = 13,489,428,736/79,736
  6. Step 6: Final answer
    x = 169,176.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.