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Finding the Third Proportional to 78,996 and 169,110

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Solution

The third proportional to 78,996 and 169,110 is: 362,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,996 : 169,110 = 169,110 : x
  2. Step 2: Convert to fraction form
    78,996/169,110 = 169,110/x
  3. Step 3: Cross multiply
    78,996x = 169,110 × 169,110
  4. Step 4: Simplify right side
    78,996x = 28,598,192,100
  5. Step 5: Solve for x
    x = 28,598,192,100/78,996
  6. Step 6: Final answer
    x = 362,020.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.