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Finding the Third Proportional to 78,034.50 and 161,118.50

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Solution

The third proportional to 78,034.50 and 161,118.50 is: 332,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.50 : 161,118.50 = 161,118.50 : x
  2. Step 2: Convert to fraction form
    78,034.50/161,118.50 = 161,118.50/x
  3. Step 3: Cross multiply
    78,034.50x = 161,118.50 × 161,118.50
  4. Step 4: Simplify right side
    78,034.50x = 25,959,171,042.25
  5. Step 5: Solve for x
    x = 25,959,171,042.25/78,034.50
  6. Step 6: Final answer
    x = 332,662.75

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.